A car traveling 95 km/h is 210 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck?

1 Answer
James Albert Narvaez ยท Stefan V.
Mar 4, 2017

t = "0.0084 hr" or "0.504 min" or "30.24 s"

Explanation:

Write the distance as a function of time

x_"car" = 95t - 0.210

x_"truck" = 75t

You need

x_"car" = x_"truck"

The two distance functions are equal at the time when the car reaches the truck.

95t - 0.210 = 75t

95t - 75t = 0.210

25t = 0.210

t = 0.210/25

t= "0.0084 hr = 0.504 min = 30.24 s"

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