Question

MICHAEL and Kevin are running. Kevin gets a 3 mile head start and runs at a rate of 5.5 miles per hour.  Michael runs at a rate of 7 miles per hour.  How many hours will it take Michael to catch up with Kevin?

Answer 1

5.5x + 3 = y
7x =y

5.5x + 3 = 7x (-5.5x both sides)

3 = 1.5x (÷1.5 both sides)

X = 2

Michael takes two hours