# CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!

## Toys

Q.23: A, B and C are to make 100 toys. In a day, they can together make 25 toys. A starts to work alone and makes 32 toys in some days. A then leaves and B and C works to make the remaining toys. It takes 8 days overall to make the 100 toys. How many days will it take for A to make 256 toys alone?
1. 16 days
2. 32 days
3. 64 days
4. 30 days

Choice B. 32 days

## Detailed Solution

A, B and C together could make 100 toys in $\frac{100}{25}$ = 4 days

i.e. A + B + C => 4 days

Total time taken when first A worked then B + C worked -> 8 days (i.e. 2 x 4)

Hence, it is as if A and (B+C) worked alternatively for 4 days each to complete the 100 days

So, A can make 32 toys in 4 days =) In a day, A can make = $\frac{32}{4}$ = 8 toys/day

To make 256 toys, A will take = $\frac{256}{8}$ = 32 days

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## More questions from Pipes Cisterns, Work Time

Mathematicians are creatures of habit. This topic has been called Pipes and Cisterns because someone named it like it long ago. Pipes and Tanks would be much better - at least makes it sound like wartime.