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P and Q alone can do a work in 18 and 45 days respectively. They started the work together and P left after 3 days of start of work. Q comp…

5124Medium DSSSB TGT Computer Science 0 replies 0 views
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P and Q alone can do a work in 18 and 45 days respectively. They started the work together and P left after 3 days of start of work. Q completed the remaining work. In how many days was the work completed?
  • A34
  • B36
  • C37.5
  • D39.5
Correct answer: C

Explanation

Together in 3 days they do 3 × (1/18 + 1/45) = 7/30. The remaining 23/30 takes Q 23/30 × 45 = 34.5 days, so total = 37.5 days.
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