SOLUTION: The first car is at 60 miles per hours and is 80 miles ahead of the second car, but the second car is moving at 70 miles per hour. How long will it take for the second car to pass

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Question 187378: The first car is at 60 miles per hours and is 80 miles ahead of the second car, but the second car is moving at 70 miles per hour. How long will it take for the second car to pass the first?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Working Eqn----->Speed=Distance%2Ftime, and we'll see the 2 cars below:

From our Eqn we get, Distance=Speed*time
Equating the 2 Cars and remember to add 80 miles to Car1:
S%5B2%5D%2At=S%5B1%5D%2At%2B80miles --->70%2At=60%2At%2B80
70t-60t=80---->10t=80---->cross%2810%29t%2Fcross%2810%29=cross%2880%298%2Fcross%2810%29
red%28t=8hrs%29--> After 8 hrs they will be at the same Distance. Let's check,
Car1: D%5B1%5D=60%2A8%2B80=480%2B80=560miles
Car2: D%5B2%5D=70%2A8=560+miles
Therefore, AFTER 8 hrs, Car2 with Speed of 70mph will overtake Car1.

Thank you,
Jojo