40 Time and Work Questions for CAT with Answers


Question 26:
A,B and c together earn Rs. 300 a day, while A and C together earn Rs.188 and B and C together earn Rs. 152 a day .What is the daily earning of C?
[1] Rs.15
[2] Rs.40
[3] Rs.60
[4] Rs.35

Answer:

Option: 2

Explanation:

C's earning for a day = (A + B + C)'s earning for a day - (A + B)'s for a day = 300 - (148 + 112) = Rs.40.


Question 27:
A and B together can do a piece of work In 6 days and A alone can do It in 9 day,. In how days B alone do it?
[1] 15 day
[2] 18 days
[3] 21 days
[4] 20 days

Answer:

Option: 2

Explanation:

A and B can do 1/6 of the work in 1 day.

A alone can do 1/9 of the work in 1 day.

B alone can do (1/6 —1/9) or 1/18 of the work in 1 day.

B can do the whole work in 18 days.


Question 28:
A alone can finish a job in 12 days and B alone can do It In 20.days. If they work together and finish it, then the share of A In total wages of Rs100 is
[1] Rs.56.25
[2] Rs.67.50
[3] Rs.62.50
[4] Rs.50

Answer:

Option: 3

Explanation:

Ratio of times taken by A and B to do the job = 12 : 20 = 3 : 5.

Ratio of work done by them when they work together = 5 : 3.

Share of A = 5/(5 + 3) x 100 = 5/8 x 100 = Rs.62.5.


Question 29:
Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first Is turned off. How much longer will the cistern take to fill completely?
[1] 8.25 min
[2] 10 min
[3] 9 min
[4] 8.5 min

Answer:

Option: 1

Explanation:

P and Q fill (1/12 + 1/15) or 3/20 of the cistern in 1 minute.

In 3 minutes, 9/20 of the cistern is filled (1 — 9/20) or 11/20 of the cistern is empty when the first pipe P is closed.

Now Q can fill 1/15 of the cistern in one minute.

Q can fill 11/20 of the cistern in 11/20 x 15/1 or \(8_4^1\) minutes.


Question 30:
A certain number of men can do a work in 60 days. If there were 8 more men, it could be finished in 10 days less. How many men are there?
[1] 30
[2] 50
[3] 40
[4] 42

Answer:

Option: 3

Explanation:

The original number of men together with 8 men more can finish the work in (60 — 10) or 50 days.

Now 8 men can do in 50 days what the original number of men can do in 10 days.

The original number of men = 50 x 8/10 = 40.

Short-cut : 8 men's 1 day's work = 1/50 — 1/60 = 1/300.

Now in one day 1/300 of the work is done by 8 men.

In one day 1/60 of the work is done by 8 x 5 or 40 men.


Time and Work


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