CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!


    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


  • Correct Answer
    Choice B. 32 days

Detailed Solution

A, B and C together could make 100 toys in = 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 = = 8 toys/day

To make 256 toys, A will take = = 32 days

Correct Answer: 32 days

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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.