Arithmetic Ability
Time and Work

112 / 118

Q.

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:

View Answer

Correct choice: D

Explanation:

(A+B)'s 1 day's work=1/20 C's 1 day work=1/60 (A+B+C)'s 1 day's work= 1/20 + 1/60 = 1/15 Also A's 1 day's work =(B+C)'s 1 day's work Therefore, we get: 2 x (A's 1 day 's work)=1/15 =>A's 1 day's work=1/30 Therefore, B's 1 day's work= 1/20 - 1/30 = 1/60 So, B alone could do the work in 60 days.
112 / 118