Kathy and cheryl are walking in a fundraiser. kathy completes the course in 4.8 hours and cheryl completes the course in 8 hours. kathy walks 2 miles per hour faster than cheryl. find kathy's speed and cheryl's speed.

Kathy's speed is equal to

Cheryl's speed is equal to

Step-by-step explanation:

Let

x-----> Kathy's speed

y----> Cheryl's speed

d----> the distance in miles

t----> the time in hours

s-----> the speed in miles per hour

we know that

The speed is equal to the distance divided by the time

so

solve for the distance d

In this problem

----> equation A

Kathy's speed

we have

substitute in the formula of distance

-----> equation B

substitute equation A in equation B

------> equation C

Cheryl's speed

we have

substitute in the formula of distance

-----> equation D

Remember that the distance is the same in both cases

so

equate equation C and equation D and solve for y

Find the value of x

----->

congruent segments

step-by-step explanation: