Question

75 Points!

Two cars are traveling down the highway at the same speed. If the first car increases its speed by 10 kilometers per hour, and the second car decreases its speed by 10 kilometers per hour, then the first car will travel the same distance in two hours that the second car travels in three hours. What is the original speed of the cars?

Answer 1

120km

Explanation:

let s = the original speed

Write a distance equation; dist = time * speed

3(s-10) = 2(s+10)

3s - 30 = 2s + 20

3s - 2s = 20 + 30

s = 50 km/hr is the original speed

confirm this, find the distances

3(50-10) = 120 km

2(50+10) = 120 km

Answer 2

50mph

Step-by-step explanation:

Say for example car A increases by 10 miles per hour and car B decreases by 10 miles per hour. If car A2 = car B3 then by eliminating a few numbers and finally get to 50 you get the following equation.

A = 50+10

b = 50-10

A = 60

B = 40

A2 = 120

B3 = 120

120 = 120