SOLUTION: One car travels 60mph and another one travels 45mph. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car b

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Question 156279: One car travels 60mph and another one travels 45mph. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 50 miles ahead of the slower car?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Car%5B1%5D=C%5B1%5D=60miles%2Fhour -----------------> faster car
Car%5B2%5D=C%5B2%5D=45miles%2Fhour ---------------------> slower car
Remember the situation, that C%5B1%5D is ahead of 50miles at a certain highlight%28TIME%29 that we're looking for. Putting that into equation, we need to add 50miles%2Ftime to C%5B2%5D to cover the gap of C%5B1%5D:
C%5B1%5D=C%5B2%5D%2B%2850miles%2Ftime%29
60%28mi%2Fhr%29=45%28mi%2Fhr%29%2B%2850mi%2Ftime%29
60%28mi%2Fhr%29-45%28mi%2Fhr%29=50%28mi%2Ftime%29
15%28mi%2Fhr%29=50%28mi%2Ftime%29, cross multiply
15%28mi%29%28time%29=50%28mi%29%28hr%29, divide both side by 15 to solve "time":

time=3.3333333hrs ---> time=3 hours & 20mins
After highlight%283hours%29 and highlight%2820minutes%29, C%5B1%5D will be 50 miles ahead of C%5B2%5D. In doubt? Let' see:
DISTANCE OF C%5B1%5D AFTER 3 hours & 20 minutes:
60%28miles%2Fcross%28hr%29%29%2A%283.3333333cross%28hours%29%29=200+miles
DISTANCE OF C%5B2%5D AFTER 3 hours & 20 minutes:
45%28miles%2Fcross%28hr%29%29%2A%283.3333333cross%28hours%29%29=150miles
C%5B1%5D-C%5B2%5D=200-150=50miles
Thank you,
Jojo