Question 334667
lois rode her bike to visit a friend. she traveled at 10 mi/h.
 while she was there it began to rain. her friend drove her home in a car
 traveling at a speed of 25 mi/h.
 lois took 1.5 h longer to go to her friends house than to return home.
 how many hours did it take lois to ride to her friends house?
:
let t = time to bike to friend's house
then
(t-1.5) = time to ride home
:
Write a distance equation, dist = speed * time
Dist to = return dist
10t = 25(t-1.5)
10t = 25t - 37.5
10t - 25t = -37.5
-15t = -37.5
t = {{{(-37.5)/(-15)}}}
t = +2.5 hrs to bike to friends house
:
:
Check solution by finding the distances, should be equal
10*2.5 = 25 mi
25(2.5-1.5) = 25 mi