Quantitative Aptitude Ques 993

Question: A and B working separately can do a piece of work in 10 days and 15 days, respectively. If they work on alternate days beginning with A, in how many days will the work be completed?

Options:

A) 18

B) 13

C) 12

D) 6

Show Answer

Answer:

Correct Answer: C

Solution:

  • Work done by (A + B) in two days $ =\frac{1}{10}+\frac{1}{15}=\frac{3+2}{30}=\frac{5}{30}=\frac{1}{6} $

$ \therefore $ Work done by (A + B) in one day $ =\frac{1}{12} $ Hence, (A + B) can complete the work in 12 days,