CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!

Amar, Akbar and Anthony

    Q.24: Amar, Akbar and Anthony set out to complete a work. Anthony being the eldest would take 1 day less than Amar if he were to complete the work alone. All three together could complete the work in a day. However, Anthony was kidnapped by Shakal. Amar and Akbar began the work in his absence. After a day, Amar was also kidnapped. Akbar took 3 more days to finish the work. How much portion of the work Anthony could do in a day?




 

  • Correct Answer
    Choice C.

Detailed Solution

Let Amar take x days and Akbar take y days to finish the work. So, Anthony would take x-1 days to complete the work alone.

Therefore, as per question,



=) …………………(1)

Also given,

=)

=) …………………(2)

Putting in equation (1),

=)

=)

Now using option analysis,

a) Work done by Anthony in 1 day =

L.H.S of (3) = )

b)

c)



Correct Answer:



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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.