“A” can do a piece of work in 80 days. He works on it for 10 days and leaves. if B alone can finish remaining work in 42 days, then in ____ days can A and B do it together.

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Detailed Solution

Concept- It will take 30 days for A and B together to complete the work. To solve this question, first using the unitary method, we will calculate the piece of work A and B can individually complete in one day from the data and conditions provided in the question statement. Then we will calculate the piece of work that can be completed if a and b work together at their respective work rates. Finally, again using unitary method we will calculate the reciprocal of the piece of work that A and B can complete in a day if they work together and obtain our desired answer
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