(25 PTS FOR CORRECT ANSWER WITH WORK)
Suzette ran and biked for a total of 40 mi in 4 h. Her average running speed was 5 mph and her average biking speed was 15 mph.

Let x = total hours Suzette ran.
Let y = total hours Suzette biked.

Use substitution to solve for x and y. Show your work. Check your solution.
How many hours did Suzette run?
How many hours did she bike?

Suzette ran for 2 hours and biked for 2 hours.

Step-by-step explanation:

Let x = total hours Suzette ran.

Let y = total hours Suzette biked.

She spent a total of 4 hours. It means that

x + y = 4

Distance = speed × time

Her average running speed was 5 mph. This means that distance covered while running is 5x

Her average biking speed was 15 mph. This means that distance covered while biking is 15y.

Suzette ran and biked for a total of 40 miles. It means that

5x + 15y = 40- - - - - - - - - - - - -1

Substituting x = 4 - y into equation 1, it becomes

5(4 - y) + 15y = 40

20 - 5y + 15y = 40

- 5y + 15y = 40 - 20

10y = 20

y = 20/10

y = 2

x = 4 - y = 4 - 2

x = 2

add an !

step-by-step explanation:

whats the