SOLUTION: A bicyclist travels at a constant rate on her bicylce. Biking with the wind, it takes 2.6 hours to travel 52 miles. Biking against the wind, the return trip takes 4 hours. If there

Question 898917: A bicyclist travels at a constant rate on her bicylce. Biking with the wind, it takes 2.6 hours to travel 52 miles. Biking against the wind, the return trip takes 4 hours. If there was no wind, how fast was the cyclist biking?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bicyclist travels at a constant rate on her bicylce. Biking with the wind, it takes 2.6 hours to travel 52 miles. Biking against the wind, the return trip takes 4 hours. If there was no wind, how fast was the cyclist biking
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With Wind DATA:
distance = 52 miles ; time = 2.6 hrs ; rate = 52/2.6 = 20 mph
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Against wind DATA:
distance = 52 miles ; time = 4 hrs ; rate = 52/4 = 13 mph
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Equations:
b + w = 20 mph
b - w = 13 mph
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Add and solve for "b"::
2b = 33
b = 16.5 mph (speed with no wind)
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Cheers,
Stan H.
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