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A and B can do a work in 5 days B and C can do a work in 4 Days.A start the Work and leave after 4 Days Then B joined and left after 3 days .Remaining work done by C in how many Days

I Have tried:

A and B can do a piece of work in 1 Day is 1/5

similarly B and C is 1/4

After that I am not able to proceed with this sum, Please anyone guide me for the Answer

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    pls share what is the answer – 2017-02-13

1 Answers 1

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Suppose $A,B,C$ does $1/x,1/y,1/z$ part of the in $1$ day. Then

$1/x+1/y=1/5$ and $1/y+1/z = 1/4$.

Let $C$ work for $d$ days. Then by problem $4/x+3/y+d/z=1$.

Now find the value of $d$ using the constraints.

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    ok thank you @user8795 – 2017-02-13
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    @user8795,pls tell what is the answer – 2017-02-13