Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system {56s=70ts=t+12 for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her.

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

Step-by-step explanation:

Given:

56s=70t

s=t+1/2

Solution

56s=70t

s=t+1/2

Substitute s=t+1/2 into 56s=70t

56s=70t

56(t+1/2)=70t

56t+28=70t

28=70t - 56t

28=14t

Divide both sides by 14

28/14=14t/14

2=t

t=2

Recall,

s=t+1/2

s=2+1/2

=4+1/2

s=5/2

Or

s=2.5 hours

mr. graef told us it is 13 pints

step-by-step explanation:

after simplifying it i got: -36.25 as my answer. hope that !