A and B can do a piece of work in 40 days and 50 days, respectively. Both begin doing the work together but after certain time A leaves. Then, B finishes the remaining work in 20 days. After how many days did A leave?
A and B can do a piece of work in 40 days and 50 days, respectively. Both begin doing the work together but after certain time A leaves. Then, B finishes the remaining work in 20 days. After how many days did A leave?
Solution
✅ Correct Option: 3
Let A leave after days. B works right till the end, so B works for days.
Using :
| Person | Rate (work per day) | Time (days) | Work done |
|---|---|---|---|
| A | |||
| B |
The whole job counts as 1, so
Multiply every term by 200:
A left after days.