A and B can complete a work in 36 days and 45 days respectively. They worked together for 2 days and then A left the work. In how many days will B complete the remaining work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 40.5
Given that
A * 36 = B * 45
A/B = 45/36 = 5/4
Total work = 36 * 5 or 45 * 4 = 180
According to the question
(A + B) * 2 + B * d = Total work = 180
9 * 2 + 4 *d = 180
d = (180 - 18) /4 = 162/4 = 40.5 days