Quantitative Aptitude Ques 1117

Question: A and B working separately can do a piece of work in 9 and 15 days, respectively. If they work for a day alternately with A beginning, then the work will be completed in

Options:

A) 10 days

B) 11 days

C) 9 days

D) 12 days

Show Answer

Answer:

Correct Answer: B

Solution:

  • Work done by A and B in 2 days $ =\frac{1}{9}+\frac{1}{15}=\frac{8}{45} $ Work done by both in 10 days $ =\frac{5\times 8}{45}=\frac{8}{9} $ Remaining work $ =1-\frac{8}{9}=\frac{1}{9} $ Next day, A will do the work.

$ \therefore $ Work done by A in one day $ =\frac{1}{9}= $ remaining work Hence, total days required to complete the work = 11 days

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