# 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?

1. days.
2. days.
3. days.
4. days.

Explanation:

Worker A completes the task in 8 days. So, in one day, he will complete part of the task.

So, A's one day work = Similarly, B's one day work = ∴ (A+B)'s one day work =  of the task is completed in one day so both will complete the whole task in 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?

1. 13 days
2. 14 days
3. 15 days
4. 16 days

Explanation:

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

Therefore, (Vikas + Mohan)'s one day work will be = Similarly, Vikas's one day work = Therefore, Mohan's one day work =  In one day Mohan completes the 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.

1. 2. 3. 4. Explanation:

A's one day work = B's one day work = (A + B)'s one day work =  A and B's four day work = Therefore,the remaining work = 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?

1. 46 days
2. 48 days
3. 50 days
4. 52 days

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, of their one day's work will be completed by Peter and of their one day work will be completed by Tom.

So, Tom's one day work will be = 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?

1. 15 days
2. 14 days
3. 13 days
4. 12 days

Explanation:

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

So, C's one day work =   So, C will complete the work in 15 days.

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