Question 278227
one runner can run 3 miles per hour faster than another. in the same time that the slower runner travels 3 miles, the other travels 4 miles. Find the speed of the slower runner.
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Slower Runner DATA:
rate = x mph ; distance = 3 miles: time = d/r = 3/x hrs.
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Faster Runner DATA:
rate = x+3 mph ; distance = 4 miles ; time = d/r = 4/(x+3) hrs.
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Equation:
time = time
3/x = 4/(x+3)
3(x+3) = 4x
3x + 9 = 4x
x = 9 mph (slower runner rate)
x+3 = 12 mph (faster runner rate)
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Cheers,
Stan H.