A car passes a landmark on a highway traveling at a constant rate of 50 kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at 70 kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?

Question

Conrad Bradshaw

Mathematics

6 October, 08:05

A car passes a landmark on a highway traveling at a constant rate of 50 kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at 70 kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?

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Answers (1)

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Allan Townsend · Answer 1

Let t = time for the 2nd car to catch the 1st one

From the problem we know car 1 is 5o km ahead of 2nd

70t=50t+50

70t-50t=50

20t=50

T = 50/20 = 2.5

They will be together after 2.5 hours, 2 hours and 30 minutes