## Time and Work For SBI PO Set – 07

1) Pipe A fills three times as fast as pipe B. When they are opened together they fill the cistern in a total time of 36mins. How much time will B take to fill the cistern alone?

a)  81 Mins

b) 144 Mins

c) 108 Mins

d) 192 Mins

e) 105 Mins

b) 144 Mins

Explanation

2) A number of men can finish a work in 40 days. The same work can be done by 10 days less than the first case if 8 more men are addeD.Find the number of men who worked afterwards, that is in 30 days.

a) 18

b) 24

c) 20

d) 16

e) 32

e) 32

Explanation

3) C is twice efficient as A. B takes trice as many days as C. A takes 12 days to finish the work alone. If they work in pairs ( AB, BC, CA) starting with AB on the first day then BC on the second day and AC on the third day and so on, then how many days are require to finish the work?

a) 6.5 days

b) 4.5 days

c) 5 1/9 days

d) 8 days

e) 7 days

c) 5 1/9 days

4) A man completed a certain journey by a car. If he covered 30% of the distance at the speed of 20 km/hr, 60% of the distance at 40 km/hr and the remaining distance at 10 km/hr his average speed for the whole journey was

a) 25 km/hr

b) 28 km/hr

c) 30 km/hr

d) 33 km/hr

e) None of these

a) 25 km/hr

Explanation

5) A mason can build a tank in 12 hours. After working for 6h,he took the help of a boy and finished the work in another 5 hours. The time that the boy will take alone to complete the work is?

a) 30

b) 45

c) 48

d) 60

e) None of these

d) 60

Explanation

6) A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone?

a) 49  days

b) 62 days

c) 72 days

d) 96 days

e) None of these

c) 72 days

Explanation

7. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs 450 for the whole work, how should they divide the money?

a) Rs225, Rs150, Rs75

b) Rs250, Rs100, Rs100

c) Rs200, Rs150, Rs100

d) Rs175, Rs175, Rs100

e) None of these

a) Rs225, Rs150, Rs75

A

Explanation

(a)

8) A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?

a) 28 days

b) 27 days

c) 26.67 days

d) 16 days

e) 12 days

a) 28 days

Explanation

B worked alone for 10 days

Worked completed by B.

Remaining 2/3rd work is completed by Both A and B

Total days = 10 + 18 = 28 days

9) Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the task and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.

a) 25

b) 30

c) 60

d) 65

e) 36

b) 30

Explanation

let x be jose and y be jane

X = 90 – y à 2

Sub eqn 2 in 1

90y−y2= 1800

y290y+1800=0

solving this

jane = 30 days

jose = 60 days

10) Two men together start a journey in the same direction. They travel 24 and 36 km per day respectively. After travelling of 6 days the man at 24 km per day doubles his speed and both of them finish the journey in the same time. Find the number of days taken by them to reach the destination.

a) 10

b) 6

c) 8

d) 14

e) 12

e) 12

Explanation

Distance travelled by 1st man in 6 days

and by 2nd man

Let the total distance be x km

For remaining distance, let both take t days to reach the final destination

from (i) and (ii), we get

72 = 12 t

t = 6 days

Total days = 6 + 6 = 12 days