Question 363893
If Dr. Suzuki rides his bike to his office, he averages 15 miles per hour. 
If he drives his car, he averages 30 miles per hour. His driving is 1/5 hour less than his time bicycling. How far is his office? 
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bike DATA:
rate = 15 mph ; distance = x miles ; time = d/r = x/15 hrs.
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car DATA:
rate = 30 mph ; distance = x miles ; time = x/30 hrs.
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Equations:
bike time - car time = 1/5 hr
x/15 - x/30 = 1/5
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2x - x = 6
x = 6 miles (distance to the office)
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Cheers,
Stan H.