# AFCAT MATHEMATICS (TIME & WORK) QUIZ-3

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## Question 1:

$A$ and $B$ can do a piece of work in 18 days. $B$ and $C$ together can do it in 30 days. If $A$ is twice as good a workman as $C$, find in how many days B alone can do the work?

## Question 2:

A can do one-fourth of a piece of work in 2 days, whereas B can do half. B can do one-sixth the work as C do in 1 day. The ratio of their efficiencies of work is :

## Question 3:

45 men can finish a task in 16 days. After 6 days, 30 more men join them. How many days, will they all, now take to complete the remaining task.

## Question 4:

A can do a work in 10 days and $B$ in 15 days. How many days will both take together to complete the work?

## Question 5:

A finish a work in 1500 days and B can do the same work in 1815 days. Working together, they will complete the same work in how many days?

## Question 6:

12 persons can build a house in 15 months then find in how many months can 20 persons can build the same house?

## Question 7:

A certain number of men can do a work in 35 days. If there were 9 men less it could be finished in 9 days more. Find the number of man ?

## Question 8:

48 people can do a piece of work in 17 days. After 6 days 4 workers left the work. After how many days will it take to complete the work?

## Question 9:

36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

## Question 10:

A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?