Lewiston and vernonville are 208 miles apart. a car leaves lewiston traveling towards vernonville, and another car leaves vernonville at the same time, traveling towards lewiston. the car leaving lewiston 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?

Average speed of the car A = 70 miles per hour

Average speed of the car B = 60 miles per hour

Explanation:

Average speed of the car A is (Equation A) and Average speed of the car B is (Equation B), where and are the distances and and are the times at which are travelling the cars A and B respectively.

We have to convert the time to the correct units:

1 hour and 36 minutes = 96 minutes

From the diagram (Please see the attachment), we can see that at the time they meet, we have:

(Equation C)

(Equation D)

From Equation A and C, we have:

208-x+16 = x

208 + 16 = 2x

x = 112 miles

Replacing x in Equation A:

Replacing x in Equation B:

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explanation: