## Time and Work For SBI PO Set – 06

1)  Sunil can do a work in 36 days, Ram in 54 days and Balu in 72 days. They started working together but, before the work was to be over, Sunil left 8 days before and 12 days before Ram. Balu will complete the work alone in?

a) 20 days

b) 24 days

c) 30 days

d)  34 days

e) None of these

b) 24 days

Explanation

X = 24 days

2) A cistern  is filled in 10 hours and it takes 12.5  hours when there is a leak in the  bottom .if the cistern is  empty, in what time it will take to fill the tank.

a)  5 6/9

b)  5 5/9

c) 5 4/9

d)  6 4/5

e) None of these

Explanation

A cistern is filled in 10 hours,

it takes 12.5  hours to empty the cistern

3) Shankar, Shanmu and  Sakthivel can do a piece of work in 16 days ,32 days and 48 days respectively. They work together. If the wages are divided in proportion if the work done by them. Sakthivel share value is 1800 rupees. Find out their total wages.

a) 9900

b) 6600

c) 5500

d)  4450

e) None of these

Explanation

4) Taps A, B and C are connected to a water tank and the rate of flow of water is 40 litres/hr, 58 litres/hr and 68 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank . If all the three taps are opened simultaneously, the tank gets completely filled up in 18 hours. What is the capacity of the tank?

a) 520 liters

b) 510 liters

c) 550 liters

d)  540 liters

e) None of these

Explanation

5) A Men and a Woman received Rs. 1600 as wages for 10 days for the work they did together. The Men’s efficiency in the work was three times that of the Woman. What are the daily wages of the Woman?

a) Rs.  20

b) Rs. 40

c) Rs. 60

d)  Rs.80

e) None of these

Explanation

6) A is twice more efficient than B. C takes three times as many days as B takes to do a piece of work. If A can finish a job in 15 days, in how many days can A, B and C, working together, do the same job?

a) 6 days

b) 7 days

c) 9 days

d)  8 days

e) None of these

c) 9 days

Explanation

7) A certain number of men can finish a piece of work in 100 days. If however there were l0 men less, it would take another 10 days to finish the work. How Many men were there originally?

a) 50

b) 75

c) 82

d)  110

e)  None of these

d)  110

Explanation

x ×100 = (x- 10) × 110

10 x = 100x-1100

100x = 1100

x = 110

8) To complete a work, A takes 75% more time than B. If together they take 22 days to complete the work, how much time shall B take to do it alone?

a) 14 days

b) 16 days

c) 15 days

d) 17 days

e) None of these

e) None of these

Explanation

9) 50 men could complete a work in 150 days. They worked together for 100 days, after that due to bad weather the work is stopped for 25 days. How many more workers should be employed so as to complete the work in time?

a) 25

b) 35

c) 50

d)  60

e) None of these

c) 50

Explanation

10) Mantu starts a month with provisions expected to last for the entire month. After few days, it is discovered that the provisions will, in fact short by 12 days and it is calculated that if the stock of provisions left is immediately tripled, it will be possible to exactly make up for the shortfall. If the stock of provisions left is doubled instead of being tripled, and simultaneously the strength of the Mantu is decreased by 25, then the provisions will fall short by?

a) 3 days

b) 4 days

c) 2 days

d) 6 days

e) 5 days

c) 2 days

Explanation

At the moment the shortfall is discovered, let there be n days worth of provision left.

Now, extra days worth of provisions lasts for the 12 additional days.⇒ 3n lasts for 18 days i.e. 18 days are left for the month to end. But if the provisions are only doubled and the strength becomes , then the provisions will last for days short fall of 2 days.