Salem and vernonville are 160 miles apart. a car leaves salem traveling towards vernonville, and another car leaves vernonville at the same time, traveling towards salem. the car leaving salem averages 10 miles per hour more than the other, and they meet after 1 hour and 36 minutes. what are the average speeds of the cars?

The speed of car leaves  Vernonville = 45 miles per hour

The speed of car leaves  Salem = 55 miles per hour

Explanation:

Given that distance between Salem and Vernonville = 160 miles

Lest take speed of car which leaves from Vernonville = V miles per hour

So the speed of car which leaves from Salem = V +10 miles per hour

These two car meet at time = 1 hr 36 min = 1.6 hr

Distance travel by car leaves from Salem = x

   x= (V+10) x 1.6    --------1

Distance travel by car leaves from Vernonville = 160 - x

  160 -  x= V x 1.6      ----------2

From equation 1 and 2

160 - (V+10) x 1.6  = V x 1.6

V= 45 miles per hour

So

The speed of car leaves  Vernonville = 45 miles per hour

The speed of car leaves  Salem = 55 miles per hour

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