Quantitative Aptitude Ques 1222

Question: A can do a job in 20 days, Bin 30 days and C in 60 days. If A is helped by B and C every 3rd day, then how long will it take for them to complete the job?

Options:

A) 18 days

B) 15 days

C) 16 days

D) 14 days

Show Answer

Answer:

Correct Answer: B

Solution:

  • As A is helped by B and C every third day. A works for 3 days while B and C work for 1 day in every three days.

$ \therefore $ Work done by A, B and C in 3 days $ =\frac{3}{20}+\frac{1}{30}+\frac{1}{60}=\frac{12}{60}=\frac{1}{5} $ So, A, B and C in 3 days can do $ \frac{1}{5} $ of the work, Hence, A, B and C complete the work in 15 days.