SOLUTION: Two cars start from the same point and travel in opposite directions with speeds of 45 and 60 miles per hour respectively. In how many hours will they be 490 miles apart? -Thanks a

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Question 377563: Two cars start from the same point and travel in opposite directions with speeds of 45 and 60 miles per hour respectively. In how many hours will they be 490 miles apart? -Thanks a lot!
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
D = r*t OR D/r = t BOTH cars will be traveling the same amountof time
Let x represent car's distance traveling at 45mph,
and (490-x) the distance traveled by the car going 60mph

Cross multiply to solve
60x = 45(490-x)
60x = 45*490 - 45x
115x = 45*490
x = 45*490/105
x = 210mi, car's distance traveling at 45mph
210mi/45mph = 4 2/3 hours or 4hr and 40 min.
CHECKING OUR ANSWER
210MI + 60mph*14/3hr = 210mi + 280mi = 490mi
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