SOLUTION: Michael and John work together building houses. Michael's crew can build a house in 8 days, while John's crew can finish the same house in 10 days. How long would it take both crew
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Question 1070207: Michael and John work together building houses. Michael's crew can build a house in 8 days, while John's crew can finish the same house in 10 days. How long would it take both crews if the worked together? Found 2 solutions by jorel1380, ikleyn:Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! If Michael's crew can build a house in 8 days, then they finish 1/8th of a house per day. Similarly, John's crew finishes 1/10th of a house per day. Working together, they can finish:
1/8 + 1/10=5/40 + 4/40, or 9/40ths of a house per day. Therefore, 1 house takes 1/(9/40), or 40/9, or 4-4/9ths days. ☺☺☺☺
You can put this solution on YOUR website! .
Michael and John work together building houses. Michael's crew can build a house in 8 days, while John's crew can finish
the same house in 10 days. How long would it take both crews if the worked together?
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Michael's crew makes of the job per day.
John's crew makes of the job per day.
When the two crews work together, they make = = of the work per day.
Hence,
it will take = days for the two crews to complete the job.