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

Answer:

#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"#