Question

Jeromy can drive from his house in Cleveland to his college in Chicago in 4.5 hours. It takes his mother 6 hours to make the same drive. Jeromy drives 20 miles per hour faster than his mother. Find Jeromy’s speed and his mother’s speed.

Short answer

Speed of Jeromy = 80 miles/he

while that of his mother =60 miles/hr

Step-by-step solution

Step 1. Given Information

Jeromy can drive from his house in Cleveland to his college in Chicago in 4.5 hours. It takes his mother 6 hours to make the same drive. Jeromy drives 20 miles per hour faster than his mother.

Step 2. Calculating speed

Let the speed of Jeromy be x

So the speed of his mother is 20+x

Since the distance is same

$$\begin{gathered} 4.5(x+20)=6x \\ 1.5x=90 \\ x=60 \end{gathered}$$

Speed of Jeromy = 80 miles/he

while that of his mother =60 miles/hr