# Aptitude Time and Work Test Paper 2

6) A, B, C can do a job in 10, 20 and 40 days respectively. In how many days A can complete the job if he is assisted by B and C on every third day?

1. 8 days
2. 7 days
3. 9 days
4. 6 days

Explanation:

A's one day work =

B's one day work =

C's one day work =

(A+B+C)'s one day work =

Work done in three days will be the sum of A's two-day work and (A+B+C)'s one day work.

A's two-day work =

Therefore, the work is done in three days =

3/8 part of the job is done in 3 days.

The entire job will be done by A in = 3 x

7) If 5 men can colour 50-meter long cloth in 5 days, in many days 4 men can color a 40-meter long cloth?

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

Explanation:

5 men colour 50-meter long cloth in 5 days.

1 man will colour= 10-meter long cloth in five days.

So, in one day one man can colour= 2-meter long cloth.

Now, as per question 4 men are supposed to colour the 40-meter long cloth.

One man has to colour the = 10 meter cloth

For 2-meter long cloth one man takes 1 day

So, to paint 10-meter long cloth he will take =

As, 4 men are working together so 40 m long cloth will be coloured in 5 days

Quicker method:

Apply formula: M1D1W2 = M2D2W1

5*5*40 = 4*D2*50

D2=

8) If 4 men can finish 4 times of a work in 4 days, in how many days 6 men can finish the 6 times of same work ?

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

Explanation:

4 men can finish 4 times of work in four days.

Therefore, one man can finish the one time of work in four days.

So, 6 men will finish the six times of work in the same time (4 days)

Quicker method:

Apply formula: M1D1W2 = M2D2W1

Let the work be X

Work done by 4 men, W1 = 4X

Work done by 6 men, W2 = 6X

4*4*6X = 6*D2*4X

96X = D2 *24X

D2= 4 days

9) A can do a piece of work in 10 days. B is 50% more efficient than A. In how many days B alone can do the same job?

1. 6.2 days
2. 6.6 days
3. 7 days
4. 7.2 days

Explanation:

B is 50%more efficient than A so he will take less time to do a piece of work.

Therefore, the ratio of the time taken by A and B =

Let B takes X days to do the job.

3X =20

X = 6.6 days

10) A can do a job in 30 days. B alone can do the same job in 20 days. If A starts the work and joined by B after 10 days, in how many days the job will be done?

1. 15 days
2. 16 days
3. 17 days
4. 18 days

Explanation:

A's one day work =

A's ten-day work =

So the remaining work would be =

B's one day work =

A and B's one day work =

of the job will be done by them in one day.

So, the remaining job= 8 days

Therefore, the total number of days required to do the job would be = 10 + 8 = 18 days

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Time and Work Concepts