Boats and Streams

Boat and Stream Questions for Bank PO Prelims Exams

Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for SBI/IBPS PO Prelims so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.

 

Start Quiz

 

1) A motorboat goes 12 km upstream in 48 minutes. If the speed of the stream is 1/6th of the speed of the boat in still water, then how much distance (in km) can the motorboat travel downstream in 40 minutes?

A.17 km

B.14 km

C.19 km

D.31 km

E.None of these


2) The speed of the boat in still water is 200% more than the speed of the stream. If the boat covers d km along with stream in 6 hours and the same boat covers the same distance against stream in 12 hours, find the downstream speed of the boat?

A.20 kmph

B.24 kmph

C.32 kmph

D.16 kmph

E.Cannot be determined


3) Sum of the speed of upstream and downstream is 24km/hr and the boat can covers 240km downstream in 16 hours, find the speed of the stream.

A.4 km/hr

B.2.5km/hr

C.3 km/hr

D.Can’t be determined

E.None of these


4) The speed of a boat in still water is 700% more than the speed of stream. The boat can covers 28km upstream and 45km downstream in 45 minutes. Find the speed of boat in still water in km/hr.

A.84 km/hr

B.72 km/hr

C.96 km/hr

D.36 km/hr

E.None of these


5) Time taken by a boat to cover 240 Km in downstream is 16 hours less than the taken by the same boat to cover the same distance in upstream. If the speed of the stream is 10 Km/hr, then find the speed of boat in still water?

A.24 km/hr

B.28 km/hr

C.16 km/hr

D.20 km/hr

E.None of these


6) A boat covers 20 km along with stream in 10 minutes and the same boat covers 40 km against stream in 60 minutes. What is the time taken by the boat covers 240 km in still water?

A.2 hours

B.3 hours

C.2.5 hours

D.4 hours

E.3.5 hours


7) Time taken by a boat to travel 221 km downstream is 4 hour less than the time taken to travel the same distance in upstream. Find the time taken by the boat to travel 578 km in downstream, if the speed of Stream is 13 km/hr less than the speed of boat in still water?

A.13 hours

B.26 hours

C.34 hours

D.17 hours

E.None of these


8) Find the upstream speed of the boat, if the ratio of the speed of boat in still water to the speed of the stream is 6:1. The boat takes totally 4 hours to cover 98 km downstream and 70 km upstream.    

A.35 kmph

B.49 kmph

C.98 kmph

D.70 kmph

E.None of these


9) The ratio of the speed of boat A and B is 2:3 and the speed of the stream is 6 kmph. If boat B covers 120 km downstream in 5 hours, then find the distance covered by boat A against steam in 8 hours?

A.45 km

B.50 km

C.60 km

D.68 km

E.None of these


10) The speed of the stream is 25% less than the speed of the boat in still water. If the boat covers 280 km along with steam in 8 hours, then what is the difference between the time taken by the boat to cover 420 km along with stream and against the stream?

A.72 hours

B.75 hours

C.80 hours

D.68 hours

E.56 hours


Answers :

1) Answer: B

The speed of boat upstream = 12/48*60 = 15 kmph

Boat’s speed : Stream’s speed = 6:1

Upstream’s speed : Downstream’s speed = (6-1) : (6+1)

= 5 : 7 = 15 : 21

Downstream’s speed = 21 kmph

Distance travelled by boat in 40 minutes downstream = 21*40/60

= 14 km


2) Answer: E

Distance = d

Speed of stream = x

Speed of boat = x * 300/100 = 3x

d/4x = 6

d/(3x – x) = 12

We cannot find the answer.


3) Answer: C

Sum of the speed of upstream and downstream = (u-v) + (u+v)

2u = 24km/hr

Speed of the boat u= 12km/hr

Boat can covers 240km downstream in 16 hours,

240/16= 12+v

15 = 12+v

v=3 km/hr


4) Answer: C

Let speed of stream = a km/h

Speed of boat in still water = 8a km/h

According to question

28/ (8a – a) + 45/ (8a + a) = 3/4

4/a + 5/a = 3/4

9/a = 3/4

a = 12

Speed of boat in still water = 96 km/h


5) Answer: D

Let the speed of boat in still water be x km/hr,

According to the question,

[240 / (x – 10)] – [240 / (x + 10)] = 16 [(x + 10) – (x – 10)] / [x2 – 100] = 16 * (1/240)

(20 / [x2 – 100]) = 1/15

x2 – 100 = 300

x2 = 400

x = 20

The speed of boat in still water = 20 km/hr


6) Answer: B

Speed of the boat = x

Speed of the stream = y

20/(x + y) = 10/60

x + y = 120———–(1)

40/(x – y) = 1

x – y = 40 —–(2)

From (1) and (2)

2x = 160

x = 80 kmph

Required time = 240/80 = 3 hours


7) Answer: C

Let the speed of boat = a km/h

Speed of stream = (a – 13) km/h

According to question,

221 / (a + a – 13) = 221 / (a –a + 13) – 4

221 = (2a – 13) x 13

2a – 13 = 17

a = 15

Speed of boat in still water = 15 km/h

Speed of stream = 15 – 13 = 2 km/h

Required time = 578 / (15 + 2) = 34 hours


8) Answer: A

Let the speed of the boat in still water and that of the stream be 6X kmph and X kmph respectively.

Downstream speed of the boat=7X

Upstream speed of the boat=5X

According to question,

98/7X + 70/5X=4

14/X +14/X=4

X = 7

Upstream speed = 6X – X = 5X = 5 * 7 = 35 kmph


9) Answer: E

Speed of boat A = 2x

Speed of boat b = 3x

Speed of steam = 6 kmph

Downstream speed of boat B = 120/5 = 24 kmph

Speed of boat B = 24 – 6 = 18 kmph

Speed of boat A = 18 * 2/3 = 12 kmph

Required distance = 8 * (12 – 6) = 48 km


10) Answer: A

Speed of the boat = 100x

Speed of stream = 100x * 75/100 = 75x

280/(100x + 75x) = 8

x = 0.2

Speed of the boat = 100 * 0.2 = 20 kmph

Speed of the stream = 75 * 0.2 = 15 kmph

Required difference = [420/(20 – 15)] – [420/(20 + 15)] = 72 hours

 

Start Quiz

 

11) The time taken by a boat to cover a distance of ‘D-36’ km upstream is half the time taken by the boat to cover a distance of ‘D’ km downstream. The ratio of the speed of downstream to upstream is 3:2. If the time taken to cover ‘D-22’ km upstream is 2 hours, then what is the speed of the current?

A.5 kmph

B.8 kmph

C.6 kmph

D.4 kmph

E.None of these


12) The time taken by the boat to cover 180 km downstream is 2.5 hours less than the time taken by the boat to cover the same distance in upstream. If the upstream speed of the boat is 24 km/hr, find the speed of the boat in still water.

A.30 km/hr

B.24 km/hr

C.28 km/hr

D.32 km/hr

E.None of these


13) Ratio of the time taken by the boat to cover a certain distance along with stream and the same boat covers the same distance against the stream in 1:3. Find the ratio of the speed of the boat in still water to stream?

A.2:1

B.3:1

C.3:2

D.4:3

E.Cannot be determined


14) The speed of the boat in still water is four times the speed of the stream and the boat covers 150 km along with the stream and 120 km against the stream in 7 hours, then find the speed of the boat in still water?

A.50 km/hr

B.20 km/hr

C.30 km/hr

D.40 km/hr

E.None of these


15) The ratio of the speed of the boat in upstream and downstream is 5:6 and then find the total time taken by the boat to cover the distance of 220 km in still water, if the boat takes totally 11 hours to travel 300 km in downstream and 300 km in upstream?

A.3 hours

B.4 hours

C.5 hours

D.2 hours

E.None of these


16) A boat takes 20 hours to travel D km in upstream and 8 hours to travel the same distance in downstream. If the speed of the stream is 12kmph, then find the value of D?

A.270 km

B.280 km

C.180 km

D.320 km

E.None of these


17) The speed of the boat in still water is five times the speed of the stream and the boat covers 240 km downstream and returns to the starting point in 10 hours, then in how many hours the boat covers 150 km in still water?

A.3 hours

B.5 hours

C.6 hours

D.2 hours

E.None of these


18) The speed of boat in still water is 40% more than the speed of current. Ratio of the time taken by the boat to cover (x+ 14) km downstream to the time taken by the boat to cover (x – 10) km upstream is 1:5. Find the value of x?

A.120

B.130

C.140

D.150

E.106


19) A boat covers a certain distance in upstream and downstream in 57 hours. If the difference between the speed of boat in still water and current is 8 kmph, then what is the speed of the boat in still water?

A.20 kmph

B.19 kmph

C.13 kmph

D.Cannot be determined

E.17 kmph


20) A man can row a distance of 8 km upstream in 30 minutes and returns the same distance in 20 minutes. How much time will he take to row the same distance in downstream, if the speed of current gets tripled?

A.12 minutes

B.15 minutes

C.18 minutes

D.16 minutes

E.None of these


Answers :

11) Answer: D

(D-36)/2K=1/2  x  D/3K

3D – 108 = D

D = 108/2=54km

Upstream speed = (54-22)/2= 32/2 = 16 kmph

2K = 16

3K = 24

So, downstream speed = 24 kmph

Speed of the current= ½(24-16) = 4 Kmph


12) Answer: A

Speed of the current = C km/hr

Speed of the boat in still water = B km/hr

180/(B + C) = 180/24 – 2.5

180/(B + C) = 7.5 – 2.5

180/5 = B + C

B + C = 36 km/hr

Speed of the boat in still water = (36 + 24)/2 = 60/2 = 30 km/hr


13) Answer: A

D/(B + W) = x

D = x * (B + W)

D/(B – W) = 3x

D = 3x * (B – W)

x * (B + W) = 3x (B – W)

B + W = 3B – 3W

2B = 4W

B/W = 2/1


14) Answer: D

Let the speed of the stream = x

And the speed of the boat in still water = 4x

150/(4x+1x) + 120/(4x-1x) = 7

150/5x + 120/3x = 7

30/x + 40/x = 7

70 = 7x

x = 10

The speed of the boat in still water = 4*10 = 40 km/hr


15) Answer: B

Let the speed of the boat in upstream =5x km/hr

Let the speed of the boat in downstream =6x km/hr

300/5x+300/6x=11

60/x+50/x=11

110/11=x

x=10 km/hr

The speed of the boat in upstream =5*10=50 km/hr

The speed of the boat in downstream =6*10=60 km/hr

The speed of the boat in still water= (50+60)/2=110/2=55 km/hr

Required time=220/55=4 hours


16) Answer: D

Let speed of boat in still water be x kmph

Distance= Speed * Time

In upstream, D/(x-12) = 20

D = 20x – 240

In downstream, D/(x+12) = 8

D = 8x+96

20x- 240 = 8x + 96

12x = 336

x= 28kmph

D/(28-12) = 20

D/ 16 = 20

D = 320km


17) Answer: A

Let the speed of the stream = x

And the speed of the boat in still water = 5x

240/(5x+1x) + 240/(5x-1x) = 10

240/6x + 240/4x = 10

40 + 60 = 10x

x = 100/10

x = 10

The speed of the boat in still water = 5*10 = 50 km/hr

Required time = 150/50 = 3 hours


18) Answer: B

Speed of the current = 5y

Speed of the boat = 5y * 140/100 = 7y

(x + 14)/ (7y + 5y) = 1/5 * ((x – 10/ (7y – 5y)))

5x + 70 = 6x – 60

x = 130


19) Answer: D

Speed of the boat = x

Speed of the stream = y

Distance = D

Speed of upstream = 8 kmph

D/(x + y) + D/8 = 57

We cannot find the answer.


20) Answer: B

Upstream speed = 8/30 * 60 = 16 kmph

Downstream speed = 8/20 * 60 = 24 kmph

Boat’s speed = (16+24)/2 = 40/2 =20 kmph

Speed of current = (24-16)/2 = 8/2 = 4 kmph

Now new speed of current = 4*3 = 12 kmph

Required time = [8/(20+12)] * 60 = (8/32)*60 = 15 minutes

 

Start Quiz

 

21) Ratio of speed of a boat in upstream to downstream is 1: 3. If the boat travels 24km in upstream and 48km in downstream in 2 hours, then the speed of stream is what percent of the speed of boat in still water?

A.50%

B.40%

C.30%

D.20%

E.None of these


22) A boat rows 46km at a certain speed in the downstream and while returning, the boatman doubles his boat speed. The speed of the boat in still water is 15kmph and the current speed is 5kmph. What is the total time taken by him to cover the total distance?

A.4 hours

B.4.14 hours

C.5 hours

D.5.5 hours

E.None of these


23) Difference between the speed of stream and boat in still water is 14 kmph. If the boat covers 330 km along with stream in 11 hours, then what is the ratio of the speed of boat in still water to stream?

A.8:3

B.10:7

C.11:4

D.12:7

E.None of these


24) The speed of upstream is 12 kmph. If the speed of boat is decreased by 40% and the speed of stream is increased by 50%, then the boat covers 78 km downstream in 5 hours. Find the original speed of stream?

A.5 kmph

B.6 kmph

C.3 kmph

D.4 kmph

E.8 kmph


25) The ratio of the speed of the boat in downstream to upstream is 7: 4. A boy takes 4 hours to cover the total distance of 88km upstream. What is the speed of the boat in still water?

A.30.25 kmph

B.35 kmph

C.20.15 kmph

D.15 kmph

E.None of these


26) Ratio of the speed of boat in still water to current is 5:4. The total time taken by the boat covers 300 km against stream and 432 km along with stream in 58 hours. Find the speed of current?

A.8 kmph

B.12 kmph

C.16 kmph

D.20 kmph

E.24 kmph


27) The speed of the stream is 5 kmph. The boat A covers 96 km along with stream in 6 hours and the boat B covers 120 km along with stream in 8 hours. What is the total time taken by boat A and B covers 180 km against stream?

A.66 hours

B.68 hours

C.70 hours

D.64 hours

E.72 hours


28) A boat covers d km downstream in 9 hours and the same boat covers the same distance by upstream in 13.5 hours. If the speed of current is 5 kmph, then find the speed of boat in still water?

A.30 kmph

B.20 kmph

C.15 kmph

D.25 kmph

E.None of these


29) A boat covers 120 km along with stream in x hours. Ratio of the speed of boat in still water to current is 3:1. If the speed of boat is increased by 20% and covers 92 km downstream in (x – 2) hours, then find the time taken by the boat covers 100 km against stream.

A.8 hours

B.12.5 hours

C.10 hours

D.20 hours

E.None of these


30) A boat travels at a distance of 84 km upstream in 7 hours. If the ratio of the speed of boat in downstream is 25% more than the speed of boat in still water, then what is the distance covered by the boat along with stream in 6 hours?

A.120 km

B.150 km

C.180 km

D.90 km

E.210 km


Answers :

21) Answer: A

US = x kmph and DS = 3x kmph

24/x + 48/3x = 2

=> x = 20

US = 20 kmph and DS = 60kmph

Speed of boat in still water = (20 + 60)/2 = 40kmph

Speed of stream = (60 – 20)/2 = 20kmph

Required % = 20/40 * 100 = 50%


22) Answer: B

Required time = 46/(15 + 5) + 46/(2 * 15 – 5)

= 46/20 + 46/25 = 4.14 hours


23) Answer: C

Upstream speed = 14 kmph

Downstream speed = 330/11 = 30 kmph

Required ratio = (30 + 14)/2:(30 – 14)/2

= 22:8

= 11:4


24) Answer: D

Speed of boat = x

Speed of stream = y

x – y = 12 —-(1)

78/(x * 60/100 + y * 150/100) = 5

3x + 7.5y = 78 —-(2)

From (1) and (2)

10.5y = 42

y = 4


25) Answer: A

Speed in upstream = 88/4 = 22kmph

Speed in downstream = 7/4 * 22 = 38.5kmph

Speed of the boat in still water = (22 + 38.5)/2 = 30.25kmph


26) Answer: E

300/(5x – 4x) + 432/(5x + 4x) = 58

2700 + 432 = 58 * 9x

x = 6

Speed of current = 4 * 6 = 24 kmph


27) Answer: A

Downstream speed of boat A = 96/6 = 16 kmph

Downstream speed of boat B = 120/8 = 15 kmph

Speed of boat A = 16 – 5 = 11 kmph

Speed of boat B = 15 – 5 = 10 kmph

Required time = 180/(11 – 5) + 180/(10 – 5)

= 66 hours


28) Answer: D

Speed of downstream = d/9

Speed of upstream = d/13.5

(x + 5) * 9 = (x – 5) * 13.5

9x + 45 = 13.5x – 67.5

x = 25 kmph


29) Answer: C

Boat speed = 3a

Current speed = a

120/4a = x

30 = ax

92/((3a * 120/100) + a) = (x – 2)

20 = a (x – 2)

20 = ax – 2a

20 = 30 – 2a

a = 5

Speed of boat = 3 * 5 = 15

Required time = 100/(15 – 5) = 10 hours


30) Answer: A

Upstream speed = 84/7 = 12 kmph

Speed of boat = x

Speed of current = y

x – y = 12

x + y = 125/100 * x

4x + 4y = 5x

x/y = 4/1

4k – k = 12

k = 4

Speed of downstream = 4 * 4 + 4 = 20 kmph

Required distance = 6 * 20 = 120 km

 

Start Quiz

 

31) A boat covers 128 km upstream in 16 hours. If the speed of stream is 33(1/3)% of the speed of boat, then what is the time taken by the same boat covers 272 km downstream?

A.11 hours

B.13 hours

C.15 hours

D.17 hours

E.None of these


32) The speed of upstream is 12 kmph. If the speed of boat is decreased by 40% and the speed of stream is increased by 50%, then the boat covers 78 km downstream in 5 hours. Find the original speed of stream?

A.5 kmph

B.6 kmph

C.3 kmph

D.4 kmph

E.8 kmph


33) The ratio of the speed of the boat in downstream to upstream is 7: 4. A boy takes 4 hours to cover the total distance of 88km upstream. What is the speed of the boat in still water?

A.30.25kmph

B.35kmph

C.20.15kmph

D.15kmph

E.None of these


34) Nirmal can row downstream 45 km in 5 hours and upstream 15 km in 3.75 hours, then what is the ratio of speed of current to speed of boat?

A.2:3

B.3:5

C.4:7

D.7:11

E.None of these


35) The boat will take 2 hours to cover the distance of 20km in downstream and while covering the same distance in upstream it will take 5 hours. Find the speed of the stream.

A.2kmph

B.3kmph

C.4kmph

D.5kmph

E.None of these


36) The ratio of the upstream speed and the downstream speed of the boat driven by Ram is 3: 5. If Ram can cover 25km downstream and 30km upstream in 7.5 hours, find the speed of boat in still water.

A.2 kmph

B.4 kmph

C.6 kmph

D.8 kmph

E.None of these


37) Ratio of the speed of boat in still water to current is 5:4. The total time taken by the boat covers 300 km against stream and 432 km along with stream in 58 hours. Find the speed of current?

A.8 kmph

B.12 kmph

C.16 kmph

D.20 kmph

E.24 kmph


38) The speed of the stream is 5 kmph. The boat A covers 96 km along with stream in 6 hours and the boat B covers 120 km along with stream in 8 hours. What is the total time taken by boat A and B covers 180 km against stream?

A.66 hours

B.68 hours

C.70 hours

D.64 hours

E.72 hours


39) A boat covers d km downstream in 9 hours and the same boat covers the same distance by upstream in 13.5 hours. If the speed of current is 5 kmph, then find the speed of boat in still water?

A.30 kmph

B.20 kmph

C.15 kmph

D.25 kmph

E.None of these


40) A boat travels at a distance of 84 km upstream in 7 hours. If the ratio of the speed of boat in downstream is 25% more than the speed of boat in still water, then what is the distance covered by the boat along with stream in 6 hours?

A.120 km

B.150 km

C.180 km

D.90 km

E.210 km


Answers :

31) Answer: D

Speed of upstream = 128/16 = 8 kmph

Speed of boat = 3x

Speed of stream = 3x * 100/300 = x

3x – x = 8

x = 4

Downstream speed = 3x + x = 4 * 4 = 16 kmph

Required time = 272/16

= 17 hours


32) Answer: D

Speed of boat = x

Speed of stream = y

x – y = 12 —-(1)

78/(x * 60/100 + y * 150/100) = 5

3x + 7.5y = 78 —-(2)

From (1) and (2)

10.5y = 42

y = 4


33) Answer: A

Speed in upstream = 88/4 = 22kmph

Speed in downstream = 7/4 * 22 = 38.5kmph

Speed of the boat in still water = (22 + 38.5)/2 = 30.25kmph


34) Answer: E

Downstream speed = 45/5 = 9 kmph

Upstream speed = 15/3.75 = 4 kmph

Required ratio = (9 – 4)/2:(9 + 4)/2

= 5:13


35) Answer: B

Downstream speed=20/2=10kmph

Upstream speed=20/5=4kmph

Speed of the stream =1/2*(10-4)=3kmph


36) Answer: D

Downstream Speed = 5x and Upstream speed = 3x

25/5x + 30/3x = 7.5

=> x = 2

Speed of the boat in still water = ½ * (Downstream speed + Upstream speed)

= ½ * (5x + 3x) = (8*2)/2 = 8kmph


37) Answer: E

300/(5x – 4x) + 432/(5x + 4x) = 58

2700 + 432 = 58 * 9x

x = 6

Speed of current = 4 * 6 = 24 kmph


38) Answer: A

Downstream speed of boat A = 96/6 = 16 kmph

Downstream speed of boat B = 120/8 = 15 kmph

Speed of boat A = 16 – 5 = 11 kmph

Speed of boat B = 15 – 5 = 10 kmph

Required time = 180/(11 – 5) + 180/(10 – 5)

= 66 hours


39) Answer: D

Speed of downstream = d/9

Speed of upstream = d/13.5

(x + 5) * 9 = (x – 5) * 13.5

9x + 45 = 13.5x – 67.5

x = 25 kmph


40) Answer: A

Upstream speed = 84/7 = 12 kmph

Speed of boat = x

Speed of current = y

x – y = 12

x + y = 125/100 * x

4x + 4y = 5x

x/y = 4/1

4k – k = 12

k = 4

Speed of downstream = 4 * 4 + 4 = 20 kmph

Required distance = 6 * 20 = 120 km

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This post was last modified on July 25, 2023 1:49 pm