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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.  Â
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 =Â 12/48*60Â = 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 =Â 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
x2Â = 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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