Question 732123
John and Mary leave their house at the same time and drive in opposite directions. John drives at 90 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive?
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let x=John's travel time
15 min=1/4 hr
(x+1/4)=Mary's travel time
distance=travel time*speed
..
90x-40(x+1/4)=35
90x-40x-10=35
50x=45
x=45/50=9/10 hr or 54 min
x+1/4=18/20+5/20=23/20 hr or 69 min
John's travel time=54 min
Mary's travel time=69 min