A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at a constant speed. Explain or show why.

It is true that both cars are traveling at the same speed.

Step-by-step explanation:

Given that car A travels 20 miles over half an hour, we know that this car is traveling at a speed of 40 miles per hour.

Car B travels 30 miles in 3/4 of an hour, let us set up a proportion to solve whether or not Car B is traveling at the same rate as Car A

30 miles / (3/4 hour) = x miles / 1 hour Cross multiply

30 = (3/4) x Divide both sides by (3/4)

40 = x

Therefore, both Car A and Car B are traveling at the same rate.