SOLUTION: If Dr. Suzuki rides his bike to his office, he averages 15 miles per hour. If he drives his car, ha averages 30 miles per hour. His driving is 1/5 hour less than his time bicycling

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Question 363893: If Dr. Suzuki rides his bike to his office, he averages 15 miles per hour. If he drives his car, ha 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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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.