Multiple choice

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is?

  1. 64 days

  2. 62 days

  3. 72 days

  4. 56 days

  5. None of these
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A Correct answer
Explanation

P+Q complete 1/24 of work per day. P alone does 1/32 per day, so Q alone does 1/24 - 1/32 = 1/96 per day. In 8 days together, they complete 8/24 = 1/3 of the work. Remaining 2/3 work is done by Q alone at rate 1/96, taking (2/3) / (1/96) = 64 days.

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