Question

A and b can do a piece of work in 45 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. Find the number of days after which a left the work

Answer 1

Answer:

AFTER 9 DAYS

Step-by-step explanation:

A completes the work in 45 days and B in 40 days.

Let the total work be LCM of 45 and 40 which is 360.

Efficiency of A=360/45 =8units

Efficiency of B=360/40 =9units.

Let number of days after which A left be x. Therefore, B worked for x+23 days.

8(x) + 9(x+23) =360

Solving this we get x= 9. A leaves the work after 9 days.