Question : P, Q, and R can complete a work alone in 12,15, and 20 days respectively. They started the work together. P left the work 8 days before the work was completed and Q left the work 5 days after P had left. R completed the remaining work alone. How many days will be required to complete the whole work?
Option 1:
Option 2:
Option 3:
Option 4:
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Correct Answer:
Solution :
Given that P can complete the work in 12 days, Q can complete the work in 15 days, and R can complete the work in 20 days.
P left the work 8 days before it was completed, Q left the work 5 days after P had left, and R completed the remaining work alone.
Total work = LCM
Efficiency of P =
Efficiency of Q =
Efficiency of R =
Let the total work be done in
According to the question,
⇒
⇒
⇒
⇒
Hence, the correct answer is
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