Equation/Solution to word problem

Algebra
Tutor: None Selected Time limit: 1 Day

A bicyclist travels at a constant rate on her bicycle. 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?

May 21st, 2015

With Wind:
distance = 52 miles ; time = 2.6 hrs ; rate = 52/2.6 = 20 mph
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Against wind:
distance = 52 miles ; time = 4 hrs ; rate = 52/4 = 13 mph

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)



May 21st, 2015

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