Question

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?

Answer 1

The speed of car leaves Vernonville = 45 miles per hour

The speed of car leaves Salem = 55 miles per hour

Step-by-step 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