Question 1026951
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The combined rates of the car and bicycle is 352 mi/5.5 hr=64 mi/hr
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B=rate of bicycle; C=rate of car=B+38.8 mph
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B+C=64 mph
B+(B+38.8mph)=64 mph
2B+38.8 mph=64 mph
2B=25.2 mph
B=12.6 mph
ANSWER 1: Average rate of bicycle was 12.6 mph.
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C=B+38.8 mph=12.6 mph+38.8 mph=51.4 mph
ANSWER 2: Average rate of car was 51.4 mph.
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CHECK:
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(Rate of car)(5.5hrs)+(rate of bicycle)(5.5hrs)=352 miles
(51.4 mph)(5.5 hrs)+(12.6 mph)(5.5 hrs)=352 miles
282.7 miles + 69.3 miles = 352 miles
352 miles = 352 miles
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