SOLUTION: A can do a piece of work in 9 days while B can do the work in 15 days. Both began the work together. After how many days should A leave so the total time taken for the job is 10 da

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Question 878918: A can do a piece of work in 9 days while B can do the work in 15 days. Both began the work together. After how many days should A leave so the total time taken for the job is 10 days.
A) 3
B) 4
C) 6
D) 8
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rate, work or task completion, RT=J rate time job.

A, 1/9 jobs per day;
B, 1/15 jobs per day.
If A and B work at the same time, rate is %281%2F9%2B1%2F15%29 jobs per day.
If working together and then A leaves, then remaining time is worked by B.

A and B work together for x days, and then B continues to work alone for y days.
highlight%28%281%2F9%2B1%2F15%29x%2B%281%2F15%29y=1%29 AND highlight%28x%2By=10%29.
The arithmetic and number property solving steps are undone so you can do them.