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