Question 999782
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M=miles at 65 mph; 189-M=miles at 55 mph
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(M/65)+(189-M)/55=3 hours
(55M/3575)+(65(189-M)/3575)=3 hours
(55M+12285-65M)/3575=3 hours
-10M+12285=10725
-10M=--1560
M=156
She drove 156 miles at 65 mph.
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156 mi/65 mph=2.4 hours
ANSWER 1: She drove 2.4 hours at 65 mph
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189-M = 189-156 = 33miles
She drove 33 miles at 55 mph
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33 mi/55 mph=0.6 hours
ANSWER 2: She drove 0.6 hours at 55 mph.
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CHECK:
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(Time at 65 mph)(65 mph)+ (Time at 55 mph)(55 mph)=189 mi
(2.4 hrs)(65 mph)+(0.06 hrs)(55 mph)=189 mi
156 mi + 33 mi = 189 mi
189 mi = 189 mi
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