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P can complete a work in 20 days while Q is 25% more effiecent than P. Q worked for 6 days and left, remaining work is completed by R in 15 days. Find in how many days R can complete the whole work alone?

Solution

✅ Correct Option: 2

Q is 25 percent more efficient, so Q takes 20×45=1620 \times \dfrac{4}{5} = 16 days.

In 6 days Q finishes 6/16=3/86/16 = 3/8 of the work, leaving 5/85/8.

R does 5/85/8 in 15 days, so the whole work takes 15×85=2415 \times \dfrac{8}{5} = 24 days.

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