Aptitude Time and Work Test Paper 1

1) Worker A completes a task in 8 days, and worker B completes the same task in 10 days. If both A and B work together, in how many days they will complete the task?

days.
days.
days.
days.

The Correct answer is (B)

Explanation:

Worker A completes the task in 8 days. So, in one day, he will complete Apti Time and work 26 part of the task.

So, A's one day work = Apti Time and work 26

Similarly, B's one day work = Apti Time and work 27

∴ (A+B)'s one day work = Apti Time and work 28

Apti Time and work 29 of the task is completed in one day so both will complete the whole task in Apti Time and work 30 ^days

2) Vikas and Mohan working together can complete a work in 6 days. If Vikas alone completes the same work in 10 days, in how many days Mohan alone can complete the same work?

13 days
14 days
15 days
16 days

The Correct answer is (C)

Explanation:

Vikas and Mohan together can complete the task in 6 days. So, in one day, they will complete Apti Time and work 31 part of the task.

Therefore, (Vikas + Mohan)'s one day work will be = Apti Time and work 32

Similarly, Vikas's one day work = Apti Time and work 33

Therefore, Mohan's one day work = Apti Time and work 34

In one day Mohan completes the Apti Time and work 36 part of the work so he will complete the entire work in 15 days.

3) A can do a work in 10 days and B can do the same work in 15 days. If they start working together but stop working after four days, find the fraction of the work that is left.

The Correct answer is (A)

Explanation:

A's one day work = Apti Time and work 41

B's one day work = Apti Time and work 42

(A + B)'s one day work = Apti Time and work 43

A and B's four day work = Apti Time and work 45

Therefore,the remaining work = Apti Time and work 46

4) Peter is twice as good as workman as Tom. When they work together they can finish a task in 16 days. If Tom works alone, in many days he will complete the task?

46 days
48 days
50 days
52 days

The Correct answer is (B)

Explanation:

(Peter + Tom)'s one-day work = 1/16

As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time.

Therefore, Apti Time and work 47 of their one day's work will be completed by Peter and Apti Time and work 48 of their one day work will be completed by Tom.

So, Tom's one day work will be = Apti Time and work 49

So, Tom will take 48 days to complete the task.

5) A can do a job in 12 days and B can do the same job in 10 days. With the help of C they can do the same job in 4 days. In how many days C alone can do this job?