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A takes 10 days less than the time taken...

A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.

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The correct Answer is:
30 days
Suppose B takes x days to finish the work. Then, A takes `(x-10)` days.
`:." "(1)/(x)+(1)/((x-10))=(1)/(12)impliesx^(2)-34x+120=0impliesx^(2)-30x-4x+120=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
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