SOLUTION: A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. An hour later, a second car passes the same landmark traveling in the same direction at

Question 737484: A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. An hour later, a second car passes the same landmark traveling in the same direction at 75 kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour.
An hour later, a second car passes the same landmark traveling in the same direction at 75 kilometers per hour.
How much time after the second car passes the landmark will it overtake the first car?
:
Let t = time for the 2nd car to catch the 1st
From the information given, we know that the first car is 55 km ahead of the 2nd
car when it passes the marker.
:
write a distance equation, dist = speed * time
75t = 55t + 55
75t - 55t = 55
20t = 55
t = 55/20
t = 2.75 hrs or 2 hrs 45 min
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