SATHEE: Quantitative Aptitude Ques 369

Quantitative Aptitude Ques 369

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: D

Solution:

Work done by A and B in 2 days $ =\frac{1}{9}+\frac{1}{15}=\frac{5+3}{45}=\frac{8}{45} $ $ \because $ They both work alternately.

$ \therefore $ Work done by both in 9 days $ =\frac{9}{2}\times \frac{8}{45}=\frac{4}{5} $ Now, remaining work $ =1-\frac{4}{5}=\frac{1}{5} $ Next day, B will do the work.

$ \therefore $ Time taken by B to complete the work $ =\frac{1}{5}\times 15=3,days $

$ \therefore $ Total time taken to complete the work $ =(9+3),days=12,days $

Quantitative Aptitude Ques 368

Quantitative Aptitude Ques 370

Quantitative Aptitude Ques 369

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:

Answer:

Solution:

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