1. 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:
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By: anil on 05 May 2019 02.39 am
P is doing a job in 42 days. In one day, he does 1/42 of the work. Q is more efficient than P by 26%. Then, the part of work that Q does in one day is: $$frac{1}{42}$$ x 1.26 = 3/100 R is more efficient than Q by 50%. Then, the part of work that R does in one day is: $$frac{3}{100}$$ x 1.5 = 9/200 If Q and R are put together then part of work they will finish in a day is: $$frac{3}{100}$$ + $$frac{9}{200}$$ = $$frac{15}{200}$$ Hence total work can be done in 200/15 = 13.33 days $$cong$$ 13 days
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