## Time and Work For SBI PO Set – 04

1)  Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3rd day, how many days will it take for them to complete the job?

a)  7 $$\frac {1}{2}$$day

b) 6 $$\frac {1}{2}$$days

c)  5$$\frac {1}{2}$$days

d)  4 $$\frac {1}{2}$$days

e)  None of these

e)  None of these

2) A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the work were ?

a) 10

b) 9

c) 12

d) 8

e)  None of these

d) 8

3) A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

a) 27

b) 54

c) 56

d) 68

e)  None of these

b) 54

4) Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how many days will they take to complete the work?

a) 13

b) 11

c) 15

d) 16

e) None of these

c) 15

5) Working at their own individual rates, three persons finish a same work in 4, 5 and 6 days respectively. In what time will they complete the work together?

a) 6

b) 7

c) 8

d) 10

e)  None of these

a) 6

6)  A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days)

a) 44

b) 32

c) 38

d) 50

e) None of these

a) 44

7) To finish a same amount of work, a man takes 4 days while a woman takes 6 days, each working alone. If the two persons work together, in what time will they complete the work?

a) 18

b) 36

c) 54

d) 63

e) None of these

c) 54

8) Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work.

a) $$\frac {48}{7}$$

b) 27

c) 48

d) 25

e) None of these

a) $$\frac {48}{7}$$

9) A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How many hours will the son take to do the same job, if he worked alone on the job?

a) 7.12 PM

b) 5 PM

c) 11.45 PM

d) 12 PM

e) None of these

a) 7.12 PM

Part of the cistern filled in 2 hours by pipe A=

Part of the cistern filled in 1 hours by pipe B=

When all three pipes are opened, the part filled in one hour.

10) A, B and C, can complete a piece of work individually in 15, 30 and 40 days respectively. They started the work together and the A and B let 2 days and 4 days before the completion of the work respectively. In how many days was the work completed?

a) 1 1/3

b) 2 2/3

c) 3

d) 1 1/2

e) None of these

d) 1 1/2

Explanation

8W=6M=12B

12M+12W+12B=12M+9M+6M=27M

9 men can complete the work working 1 hour per day in 6 × 6 days

27 men working 8 hours per day

=