# Aptitude Time and Work Test Paper 4

16) 40 men can paint a building in 15 days working 4 hours a day. In how many days 30 men working 5 hours a day will complete the work?

1. 14 days
2. 15 days
3. 16 days
4. 17 days

Explanation:

Let the work will be completed in X days.

Apply formula: M1 D1 T1 W2 = M2 D2 T2 W1

W1=W2

Therefore, 40 * 15 * 4 = 30 * D2 * 5

2400 = 150 * D2

D2 = 2400 = 16days
150

17) A certain number of men can do a piece of work in 50 days. If there were 6 men more the same work could be done in 10 days less. Find the original number of men.

1. 21 men
2. 22 men
3. 23 men
4. 24 men

Explanation:

Let the original number of men = X

X men do the work in 50 days.

As per the question, X + 6 men can do the work in 40 days (50 -10).

Apply formula: M1D1W2 = M2D2W1

W1=W2

Therefore, X * 50 = (X + 6) * 40

50 X = 40X + 240

10X = 240

X = 240 = 24 men
10

18) A is twice as good as workman as B so he can do a work in 40 days less than B. If they work together, in how many days they can do the work?

1. 80/4 days
2. 80/5 days
3. 80/3 days
4. 80/6 days

Explanation:

A is twice as good as workman as B so he will take less time to do a piece of work than B and the ratio of time taken by A and B would be = 1:2

So, if there is a difference of one day (2-1), B takes 2 days.

As per question the difference in time taken by A and B is 40 days.

So, if the difference is of 40 days, B will take 2 * 40 = 80 days.

A takes 40 days less than B. So, A will take 40 days (80 - 40) to do the work.

A's one day work = 1
40

B's one day work = 1
80

(A + B)'s one day work = 1    +   1   =   120   =   3
40        80      3200    80

So, working together they will do the work in 80  days
3

19) A is twice as good as workman as B and working together they can do a piece of work in 20 days. If A alone works, in how many days he will do the work?

1. 30 days
2. 33 days
3. 37 days
4. 40 days

Explanation:

As per question:

Work done by A in 1 day: work done by B in 1 day = 2:1

A and B working together can complete the work in 20 days.

So, (A+ B)'s one day work = 1
20

Therefore, A's one day work will be = 1      2   =   2   =   1
20        3      60       30

Therefore, A alone can finish the work in 30 days

20) 3 workers can do a piece of work in 20 days. If one of them works only for half time in a day, in how many days the work will be done?

1. 24 days
2. 20 days
3. 22 days
4. 23 days

Explanation:

3 men's one day work = 1
20

One man works for half day, so his one day's work = 1    =    1
60∗2      120

Sum of each man one day's work = 1    +    1   +    1    =    5   =   1
60          60       120      120    24

Therefore, they will do the work in 24 days

Aptitude Time and Work Test Paper 1
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Time and Work Concepts

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