A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was : Crackverbal Support

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was Print

Modified on: Tue, 12 Oct, 2021 at 12:17 PM

SOLUTION:

Let total work be LCM(45,40)=360 units

Efficiencies of A & B respectively are 8 and 9 units respectively

Thus together they can complete 8+9=17 units/day

Work completed by B =9*23 =207 units

Rest of the work, which is 360-207=153 units was done by A and B together at the rate of 17 units a day.

Total number of days they would have worked together=153/17 =9

Thus A must have left after 9 days. (D)

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