SOLUTION: Carl rode his bike to the city at a rate of 10 miles per hour and returned immediately on a bus traveling the same route at a rate of 50 miles per hour. If the entire trip took 6 h

Question 954009: Carl rode his bike to the city at a rate of 10 miles per hour and returned immediately on a bus traveling the same route at a rate of 50 miles per hour. If the entire trip took 6 hours, how far is Car's house from the city?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
s=distance from city
s/10mph+s/50mph=6 hours
5s/50mph+s/50mph=6 hrs
6s/50mph=6hrs
6s=6hrs(50mph)=300 mi
s=50 mi ANSWER: Carl's house was 50 miles from the city.
CHECK:
50 mi/10mph+50mi/50mph=6 hours
5 hours + 1 hour=6 hours
6 hours=6hours
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