what is the speed of car1 and car2?

Question

car 1 travels 162 miles in the same time that car 2 travels 120 miles. If the speed of car 1 is 14 miles per hour faster than the speed of car 2, what is the speed of both cars?

Answer 1

s = speed of car 2

s + 14 = speed of car 1

 

r · t = d

t = d / r

 

For car one

 

t = 162 / (s + 14)

 

For car two

 

t = 120 / s

 

The two times are equal.

 

162 / (s + 14) = 120 / s

162s = 120(s + 14)

162s = 120s + 1680

42s = 1680

s = 40

 

Car one goes 54 mph and car two goes 40 mph.