SOLUTION: If r is the rate for one leg of a round-trip and s is the rate for the return trip, express the average rate for the round-trip in terms of r and s.
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Question 813314: If r is the rate for one leg of a round-trip and s is the rate for the return trip, express the average rate for the round-trip in terms of r and s. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If r is the rate for one leg of a round-trip and s is the rate for the return trip, express the average rate for the round-trip in terms of r and s.
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1st leg DATA:
rate = r units/hr ; time = x hrs ; distance = r*t = rx units
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2nd leg DATA:
rate = s units/ hr ; distance = rx ; time = d/r = rx/s hrs
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Average rate = total distance/total time
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= [2rx)/[x + (rx/s)]
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= 2rx/[sx+rx)/s]
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= 2rx
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= 2rs/(s+r) units/hr
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Cheers,
Stan H.
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