SOLUTION: A and B working together can finish a piece of work in 20 days. After working together for 4 days, A quits and B finishes the work in 24 days more. Find the number of days it requi
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-> SOLUTION: A and B working together can finish a piece of work in 20 days. After working together for 4 days, A quits and B finishes the work in 24 days more. Find the number of days it requi
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Question 785149: A and B working together can finish a piece of work in 20 days. After working together for 4 days, A quits and B finishes the work in 24 days more. Find the number of days it requires each of them to do the work alone. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! Their combined rate of work is 1 job/20 days = 1/20 job/day
After working together for 4 days, they have completed (1/20)*4 = 1/5 of the job
B finishes the remaining 4/5 of the job in 24 days, so B's rate of work is 4/5 job/24 days = 1/30 job/day
Let r = A's rate of work. Their combined rate = 1/20 = 1/30 + 1/r
Solve for r:
1/r = 3/60 - 2/60 = 1/60 job/day
So B can complete the job in 30 days, A can complete the job in 60 days
