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Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ?

Correct Answer: 15 days

Explanation:

We know that Time is inversely proportional to Efficiency


Here given time ratio of P & P+Q as


P/P+Q = 150/100 = 3:2


Efficiency ratio of P & Q as


P:Q = 2:1 ....(1)


Given Efficiency ratio of Q & R as


Q:R = 3:1 ....(2)


From (1) & (2), we get


P:Q:R = 6:3:1


P alone can finish the work in


22.5(3+1)/6 = 15 days.


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