Problema Solution
Working together, two people can cut a large lawn in 4 hr. One person can do the job alone in 1 hr. less than the other. How long would it take the faster person to do the job? Round to the nearest tenth of an hour.
Answer provided by our tutors
together rate: 1/4 job/hr
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Slower person rate = 1/x job/hr
Faster person rate = 1/(x-1) job/hr
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Equation:
rate + rate = together rate
1/x + 1/(x-1) = 1/4
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4(x-1) + 4x = x(x-1)
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8x-4 = x^2 - x
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x^2 -9x + 4 = 0
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Realistic Answer:
x = 8.03 hrs
x-1 = 7.03 hrs answer