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Mathematics

Question

An experienced roofer can work twice as fast as her helper. working together, they can shingle a new section of roof in 4 hours. how long would it take the experienced roofer, working alone, to complete the same job?

1 Answer

  • For this case, the first thing we must do is define variables.
     We have then:
     x: amount of time the assistant works
     Y: amount of time the experienced person works
     We then have the following system of equations:
     x + y = 4
     y = (1/2) x
     Solving the system we have:
     x = 8/3
     y = 4/3
     Answer:
     
    It would take the roofer, working alone, to complete the same job about:
     
    y = 4/3 hours