SOLUTION: 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

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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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 = %28-37.5%29%2F%28-15%29
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