Problema Solution

Bill completed half the roof in 7 hours. Chip completed the other half in 4 hours, if chip can lay 30 more shingles in an hour then Bill, at what rate does Bill lay shingles?

Answer provided by our tutors

Let

x = the number of shingles that Bill lays in an hour (Bill's rate)

x + 30 = the number of shingles that Chip lays in an hour (Chip's rate)

Bill completed half the roof in 7 hours and Chip completed the other half in 4 hours. They both completed equal number of shingles thus we can write:

7*x = 4(x + 30)

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click here to see the solution for x

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x = 40 shingles per hour

Bill lays shingles at a rate of 40 shingles per hour.