SOLUTION: Tricia and Janine are roommates and leave Houston on Interstate 10 at the same time to visit their families for a long weekend. Tricia travels west and Janine travels east. If Tric
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Question 1006810: Tricia and Janine are roommates and leave Houston on Interstate 10 at the same time to visit their families for a long weekend. Tricia travels west and Janine travels east. If Tricia’s average speed is 20 miles per hour faster than Janine’s, find the speed of each if they are 310 miles apart in 2 hours and 30 minutes.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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T=Tricia's speed; J=Janine's speed=T-20 mph
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310mi/2.5hr=124 mph
The combined speed of both is 124 mph
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T+J=124 mph
T+T-20mph=124 mph
2T=144 mph
T=72 mph
ANSWER 1: Tricia's speed was 72 miles per hour.
J=T-20 mph=72 mph - 20 mph=52 mph
ANSWER 2: Janine's speed was 52 miles per hour.
.
CHECK:
2.5hr(J)+2.5hr(T)=310 mi
2.5hr(52 mph)+2.5 hr(72 mph)=310 mi
130 mi+180 mi=310 mi
310 mi=310 mi
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