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45 votes
One car travels 10 mph faster than another. When one car travels 240 miles, the other travels 290miles. What is the speed of each car?

User Angel Deykov
by
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1 Answer

15 votes
15 votes

One car travels 10 mph faster than another. When one car travels 240 miles, the other travels 290

miles. What is the speed of each car?

Let

x ----> the speed of one car

x+10 ----> the speed of the other car

Remember that

The speed is equal to divide the distance by the time

we have that

x=240/t

t=240/x ------> equation A

x+10=290/t

t=290/(x+10) ----> equation B

equate equation A and equation B

240/x=290/(x+10)

solve for x

240(x+10)=290x

240x+2,400=290x

290x-240x=2,400

50x=2,400

x=48 mph

x+10=48+10=58 mph

therefore

The speed of each car is 48 mph and 58 mph

User Mateusz Piotrowski
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