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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鈥檚 speed and his mother鈥檚 speed.

Short Answer

Expert verified

Speed of Jeromy = 80 miles/he

while that of his mother =60 miles/hr

Step by step solution

01

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.

02

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

4.5(x+20)=6x1.5x=90x=60

Speed of Jeromy = 80 miles/he

while that of his mother =60 miles/hr

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