A and B can complete a work alone in 20 days and 60 days respectively. They began the work together but A left the work after some days, and B completed the remaining work in 12 days. After how many…

Question

A and B can complete a work alone in 20 days and 60 days respectively. They began the work together but A left the work after some days, and B completed the remaining work in 12 days. After how many days from the beginning did A leave the work?

PYQPulse · Accepted Answer

12 days

PYQPulse · Answer

Explanation: A's one day work = 1/20, B's one day work = 1/60. Combined work per day = (1/20 + 1/60) = 4/60 = 1/15. Let A work for x days, then B works for x + 12 days. Total work = 1, so: (1/20)x + (1/60)(x + 12) = 1. Solving, x = 12 days. Thus, A left after 12 days.

A and B can complete a work alone in 20 days and 60 days respectively. They began the work together but A left the work after some days, and B completed the remaining work in 12 days. After how many days from the beginning did A leave the work?

Answer: D. 12 days

Explanation

A and B can complete a work alone in 20 days and 60 days respectively. They began the work together but A left the work after some days, and B completed the remaining work in 12 days. After how many days from the beginning did A leave the work?

Answer: D. 12 days

Explanation