Question 644193
Tom Whig traveled 220 miles east of St Louis. For most of the trip he averaged 60 MPH, but for one period of time he was slowed to 10mph due to major accident. If the total time of the travel was 7 hours, how many miles did he drive at the reduced speed?
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Faster segment DATA:
rate = 60 mph; time = t hrs ; distance = 60t miles
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Slower segment DATA:
rate = 10 mph ; time = 7-t hrs; distance = 10(7-t) miles
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Equation:
distance + distance = 220 miles
60t + 10(7-t) = 220
60t + 70 - 10t = 220
50t = 150
t = 3 hrs (time at faster speed)
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10(7-t) = 10(4) = 40 miles (distance at reduced speed)
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Cheers,
Stan H.
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