Question 799112
Jeff can bike to work in ¾ of an hour. When he takes the bus, the trip takes 15 minutes. If the bus takes the same route and travels 20 miles per hour faster than Jeff rides his bike, what is the speed of the bus?
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Biking DATA:
time = 3/4 hour ; rate = r mph ; distance = (3/4)r miles
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Bussing DATA:
time = 1/4 hour ; rate = r+20 mph ; distance = (1/4)(r+20) miles
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Equation:
(3/4)r = (1/4)r + 5
(1/2)r =5
r = 10 mph 
r+20 = 30 mph (speed of the bus)
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Cheers,
Stan H.
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