Find Kathy and Cheryl's speed.

Question

Kathy and Cheryl are walking and running in a fundraiser. Kathy completes the course in 5.4 hours and Cheryl completes the course in nine hours. Kathy went on average two miles per hour faster than Cheryl. Find Kathy and Cheryl's speed.

Answer 1

Let x= Cheryl's speed 

 

Then, x+2 = Kathy's speed

 

Distance = (Rate)(Time)

 

5.4(x+2) = 9x

 

5.4x + 10.8 = 9x

 

           3.6x = 10.8

 

               x = 3

 

Cheryl's speed is 3 mph and Kathy's speed is 5 mph.