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Vikki [24]
3 years ago
14

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The

cars are 500 mi apart in 5 h. How fast is each car traveling?
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
The speed of one car is 'S'.  The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels  5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>
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