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