M.P Civil Jugde Pre Exam 1998

A and B do a work in 8 days. A works for 5 days balance work is done by B in 20 days. In how many days B alone will do that work?

Verified Answer
A. 20
B. 30
C. 40
D. 45

Explanation:

Let A's one-day work be 1/A and B's one-day work be 1/B. Given 1/A + 1/B = 1/8 and 5/A + 20/B = 1. Solving these equations, we find B = 40 days.