Time and Work

Time and Work Questions For Bank Clerk Prelims

Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for SBI Clerk/ IBPS Clerk/ ESIC UDC /MTS 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 can do a piece of work in 15 days and the ratio of the efficiency of  A and B is 4:1. A, B and C together can complete the half of the work in 4 days. If they got the total wages of Rs.5400, then what is the wage of C?

A.Rs.1200

B.Rs.1500

C.Rs.1800

D.Rs.2000

E.None of these


2) A, B and C together can complete the work in 11(1/13) days and C alone complete the same work in 48 days. If the efficiency of A is 50% more than B, in how many days A and C together can complete the work?

A.12 days

B.16 days

C.18 days

D.20 days

E.None of these


3) A alone completes the work in 30 days and the efficiency of A is 300% more than the efficiency of B. If A, B and C together can complete the work in 16 days and they got the total wages of Rs.27000, then what is the wages of C?

A.Rs.9000

B.Rs.12000

C.Rs.10000

D.Rs.6000

E.None of these


4) A alone complete the work in x days and A and B together can complete the work in (x – 4) days. Efficiency of A is double of the efficiency of B. Find the value of x.

A.12

B.15

C.18

D.20

E.None of these


5) A and B together can complete the work in 13 days and A alone complete the work in 39 days. If A and B together can start the work, after 6 days A left the work, in how many days can B complete the remaining work?

A.11 days

B.12 days

C.13 days

D.9 days

E.None of these


6) 4 men and 6 women together can complete the work in 5 days and 6 men and 4 women do the same work in 4 days. In how many days 4 men and 2 women together complete the work?

A.6.25 days

B.4.25 days

C.12.25 days

D.10.25 days

E.8.25 days


7) 30 men can complete a work in 35 days. If x men started the work and worked for 25 days after 25 days, 35 men joined them and finished the remaining work in 10 days, find the value of x.

A.10

B.20

C.30

D.40

E.50


8) A, B and C together can complete three-fourth of the work in 6 days, A and C together can complete two-fifth of the work in 4(4/5) days and B and C together complete 55% of the work in 6 days. In how many days C alone complete the work?

A.20 days

B.15 days

C.24 days

D.18 days

E.12 days


9) A alone completes the work in 16 days and the efficiency of A is 25% less than the efficiency of B. If A, B and C together can complete the work in 6 days, in how many days C alone complete the work?

A.36 days

B.40 days

C.48 days

D.56 days

E.60 days


10) A, B and C together can complete the work in 16 days. If A, B and C started the work together, after 4 days A left from the work and then C and B together can complete the remaining work in 24 days. In how many days A alone complete the work?

A.32 days

B.24 days

C.30 days

D.27 days

E.36 days

 

Try Time and Work Questions For Online Mock Test 

 

 

Answers :

1) Answer: C

A = 1/15

Time ratio of A and B = 1:4

B alone complete the work = 4 * 15 = 60 days

C alone complete the work = 1/8 – 1/15 – 1/60

= 15 – 8 – 2/120 = 1/24

Ratio of work done by A, B and C = 1/15:1/60:1/24

= 8:2:5

C’s wages = 5/15 * 5400 = Rs.1800


2) Answer: B

A + B + C together can complete the work = 13/144

C alone complete the work = 1/48

A + B complete the work = 13/144 – 1/48

= 13 – 3/144

= 5/72

Efficiency of A and B = 150:100 = 3:2

Time ratio of A and B = 2:3

1/2x + 1/3x = 5/72

5/6x = 5/72

x = 12

A alone complete the work = 12 * 2 = 24 days

A + C together can complete the work = 1/24 + 1/48

= 1/16


3) Answer: A

A = 1/30

Efficiency of A and B = 400:100 = 4:1

Time ratio of A and B = 1:4

B alone complete the work = 4 * 30 = 120 days

C alone complete the work = 1/16 – 1/30 – 1/120 =(30 – 16 – 4)/480

= 1/48

Ratio of work done by A, B and C = 1/30:1/120:1/48

= 16:4:10

= 8:2:5

C’s wage = 5/15 * 27000 = Rs.9000


4) Answer: A

A + B = x – 4 days

A = x days

Time ratio of A and B = 1:2

B alone complete the work = 2 * x = 2x

1/x + 1/2x = 1/x- 4

3/2x = 1/x – 4

2x = 3x – 12

x = 12


5) Answer: E

A + B = 1/13

A = 1/39

B = 1/13 – 1/39 = 2/39

6/39 + ((6 + x)2)/39 = 1

(12 + 2x)/39 = 11/13

21 = 2x

x = 10.5 days


6) Answer: A

(4m + 6w) * 5 = 4 * (6m + 4w)

20m + 30w = 24m + 16w

4m = 14w

20women complete the work in 5 days

One woman complete the work = 100 days

One man complete the work in 14/(100 * 4) = 200/7 days

Required time = 28/200 + 2/100 = 32/200 = 4/25

Required time = 6.25 days


7) Answer: B

M1D1 = M2D2

30 x 35 =  25x + (x+35) x 10

x = 20


8) Answer: A

A + B + C together can complete the whole work = 4/3 * 6 = 8 days

A + C together can complete the whole work = 5/2 * 24/5 = 12 days

B alone complete the work = 1/8 – 1/12 = 1/24

B + C together can complete the whole work = 100/55 * 6 = 120/11

C alone complete the work = 11/120 – 1/24 = 6/120

Required time = 20 days


9) Answer: C

A alone complete the work = 16 days

Efficiency of A and B = 75:100

Time ratio of A and B = 4:3

B alone complete the work = ¾ * 16 = 12 days

C alone complete the work = 1/6 – 1/12 – 1/16 = (8 – 4 – 3)/48

= 1/48


10) Answer: A

A, B and C together can complete the work in 4 days = 4/16 = ¼

Remaining work = 1 – ¼ = ¾

C and B together can complete the whole work = 4/3 * 24 = 32 days

A alone complete the work = 1/16 – 1/32 = 1/32

 

Start Quiz

 

11) A, B and C together can complete a work in 10 days. If C alone complete the work in 20 days and the efficiency of B is double of A, in how many days B alone complete the work?

A.20 days

B.10 days

C.30 days

D.40 days

E.None of these


12) Jeni can do a piece of work in 30 days. Tanu is 20% more efficient than Jeni. How many days will Tanu take to do the same piece of work?

A.15 days

B.20 days

C.25 days

D.30 days

E.None of these


13) 20 men and 13 women can complete a work in 5 days. 15 men and 20 women can complete the same work in 6 days. In how many days 6 men and 8 women can complete the work?

A.20 days

B.30 days

C.40 days

D.15 days

E.8 days


14) A, B and C together can complete the work in 16 days and C alone complete the work in 20 days. If A, B and C started the work together and after 10 days A and B left the work, in how many days C alone complete the remaining work?

A.6 days

B.5.5 days

C.6.5 days

D.8 days

E.7.5 days


15)
P and Q together can complete a work in 6 2/3 days while P alone can complete the work in 12 days, then in how many days the work will get complete, if they work on alternative days starting with P?

A.15 ½ days

B.12 days

C.13 ¼ days

D.16 days

E.None of these


16) Basker and Sekar together can do a work together in 9 days. Basker is 1 2/3 times as efficient as Sekar. Then how long will Basker alone take do complete the work?

A.12 days

B.14 2/5 days

C.16 days

D.18 2/5 days

E.None of these


17) A can complete 80% of a work in 16 days and B can complete 75% of the work in 18 days. If A and B both start working together, in how many days the work will be completed?

A.10(10/11) days

B.12(10/11) days

C.8(10/11) days

D.11(10/11) days

E.None of these


18) 6 men and 15 women complete a work in 30 days. If each man takes thrice the time taken by woman, in how many days 17 men finish the same work?

A.60 days

B.80 days

C.75 days

D.90 days

E.99 days


19) A and B together can do a work in 16 days, B and C together can do it in 24 days while C and A together can do it in 32 days. Then in how many days C alone will complete the work?

A.176 days

B.184 days

C.192 days

D.180 days

E.None of these


20) A and B together can complete a work in 13(5/7) days and B alone complete the half of the work in 16 days. If A started the work and after 6 days, he left the work, then in how many days B alone complete the remaining work?

A.12 days

B.18 days

C.24 days

D.30 days

E.None of these

 

Try Time and Work Questions For Online Mock Test 

 

 

Answers :

11) Answer: C

A + B + C = 1/10

C = 1/20

A + B = 1/10 – 1/20 = 1/20

1/2x + 1/x = 1/20

(1 + 2)/2x = 1/20

1/x = 1/30


12) Answer: C

Ratio of time taken by Jeni and Tanu = 120: 100 = 6: 5

Let Tanu takes x days to do the work.

=> 6: 5::30: x

=> x = 5 * 30/6 = 25 days


13) Answer: D

5 * (20 m + 13 w) = 6 * (15 m + 20 w)

100 m + 65 w = 90 m + 120 w

10 m = 55 w

2 m = 11 w

20 m + 13 w = 110 w + 13 w = 123 w

6 m + 8 w = 33 w + 8 w = 41 w

Women               days

123                      5

41                        ?

Then

Required number of days = (123 * 5) / 41 = 15 days


14) Answer: E

A + B + C = 1/16

C = 1/20

A + B = 1/16 – 1/20 = (5 – 4)/80 = 1/80

10/80 + (x + 10)/20 = 1

10 + 4x + 40 = 80

4x = 30

x = 7(1/2) = 7.5 Days


15) Answer: C

P and Q together can complete a work in = 6 2/3 days = 20/3 days

(P + Q)’s one day work = 3/20

P alone can complete the work in = 12 days

P’s one day work = 1/12

Q’s one day work = 3/20 – 1/12 = (36 – 20) / (20 * 12) = 1/15

Q can complete the work in 15 days

Total units = 60 (LCM of 12, 15)

A’s one day work = 5 units

B’s one day work = 4 units

Work done in 2 days = 5 + 4 = 9 units

Work done in 12 days = 9 * 6 = 54 units

Work will be completed in = 12 + 1 + ¼ = 13 ¼ days


16) Answer: B

(Basker’s 1 day’s work): (Sekar’s 1 day’s work) = 5/3: 1 = 5: 3

Let Basker’s and Sekar’s 1 day’s work be 5x and 3x.

Then, 5x + 3x = 1/9

=> x = 1/72

Hence, Basker’s 1 day’s work = 1/72 * 5 = 5/72

=>He will take 14 2/5 days to complete the whole work.


17) Answer: A

A = 100/80 * 16 = 20 days

B = 100/75 * 18 = 24 days

A + B = 1/20 + 1/24

= 44/20 * 24

Required time = 120/11 = 10(10/11) days


18) Answer: D

w = 3m

Total work = (6m + 15w) = 1/30

6m + 45m = 1/30

51m = 1/30

51m * 30 = 17m * ?

? = 90 days


19) Answer: C

(A + B)’s one day work = (1/16)

(B + C)’s one day work = (1/24)

(C + A)’s one day work = (1/32)

2*(A + B + C)’s one day work = (1/16) + (1/24) + (1/32) = 13/96

(A + B + C)’s one day work = 13/(96 * 2) = 13/192

C’s one day work = (A + B + C) – (A + B)

= > (13/192) – (1/16)

= > (13 – 12)/192

= > 1/192

‘C’ can complete a whole work in = 192 days


20) Answer: C

A + B = 96/7

B = 2/1 * 16 = 32 days

A = 7/96 – 1/32 = 1/24

6/24 + x/32 = 1

x/32 = 1 – 1/4

x/32 = 3/4

x = 24 days

 

Download Time and Work Questions for IBPS Clerk Prelims Exam PDF

For More Time and Work Questions PDF

Try IBPS Clerk Free Online Mock Test

Try SBI Clerk Free Online Mock Test

This post was last modified on July 13, 2023 6:17 pm