Three carpenters P, Q and R are entrusted with office furniture work. P can do a job in 42 days. If Q is 26% more efficient than P and R is 50% more efficient than Q, then Q and R together can finish the job in approximately:
Explanation:
Assume that P does p units of work in one day.
∴ Total work = 42p
So, Q and R do 1.26p and (1.26 × 1.5 =)1.89p units of work in one day respectively.
∴ Total work done by Q and R in one day = 1.26p + 1.89p = 3.15p
So, Q and R can finish the work in (42p/3.15p ≈) 13 days.
Hence, option (b).
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