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?
With Wind:distance = 52 miles ; time = 2.6 hrs ; rate = 52/2.6 = 20 mph----Against wind:distance = 52 miles ; time = 4 hrs ; rate = 52/4 = 13 mph
b + w = 20 mphb - w = 13 mph-----Add and solve for "b"::2b = 33b = 16.5 mph (speed with no wind)
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