SOLUTION: A can do a piece of work in 60 days, which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. The work was finished in how many days?
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Question 1179436: A can do a piece of work in 60 days, which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. The work was finished in how many days? Answer by ikleyn(52776) (Show Source):
Their combined rate of work is = = = .
So, the time to complete the job would be 24 days, had they work together.
But A left the job after 14 days working together.
After 14 days working together, they completed the part of = the job;
hence, of the job remained.
Worker B completed the remaining part of the job in = = = days = 16 2/3 days.
ANSWER. They worked 14 days together; then A left the job,
and worker B completed the job in 16 2/3 days working alone.
