SOLUTION: A can do a work in 32 days and B in 40 days. they work together for 10 days and then B left. In how many days A will finish the work.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can do a work in 32 days and B in 40 days. they work together for 10 days and then B left. In how many days A will finish the work.      Log On


   



Question 319005: A can do a work in 32 days and B in 40 days. they work together for 10 days and then B left. In how many days A will finish the work.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
A can do 1/32 of the job in 1 day.
B can do 1/40 of the job in 1 day.
1/32 + 1/40 = 9/160 part of the job done in one day working together.
9/16 part of the job done after 10 days.
Let d be the additional days required for A to finish the job.
(1/32)d=9/16
d=9/16 / 1/32
=9/16 * 32
=18 more days for A to finish the work.
.
Ed