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Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster the the other car, what was the average speed for each car for the 2-hour trip?

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lublana

Answer with Step-by-step explanation:

Let speed of one car=x miles/h

Speed of second car=x+8 mi/h

Time,t=2 hours

Distance between two cars=208 miles

We have to find the average speed for each car for 2-hour trip.

Distance=[tex]Speed\times time[/tex]

Distance traveled by one car=2x

Distance traveled by second car=2(x+8)

According to question

[tex]2x+2(x+8)=208[/tex]

[tex]2x+2x+16=208[/tex]

[tex]4x=208-16[/tex]

[tex]4x=192[/tex]

[tex]x=\frac{192}{4}=48[/tex]

Speed of one car=48mph

Speed of second car=48+8=56mph

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