SOLUTION: Lois rides her bike to visit a friend. she travels 10 mph. while shes there it starts to rain. her friend drives her home in a car traveling at 25 mph. It takes Lois 1.5 hours long

Question 1204127: Lois rides her bike to visit a friend. she travels 10 mph. while shes there it starts to rain. her friend drives her home in a car traveling at 25 mph. It takes Lois 1.5 hours longer to go to her friends than it does to return home. how many hours did it take Lois to ride to her friends house?

Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Lois rides her bike to visit a friend. she travels 10 mph. while shes there it starts to rain
Let the friend's house be x miles away.
Time taken to reach friend's house x/10 hours
Her friend drives her home in a car traveling at 25 mph.
Time taken to drive back = x/25 hours
It takes Lois 1.5 hours longer to go to her friends than it does to return home.
Time taken to bike to friend.s house - time return by car = 1.5
x/10 - x/25 = 3/2
Multiply by LCD 50
5x-2x= 75
3x=75
x = 25 miles
how many hours did it take Lois to ride to her friends house?
time = distance / speed = 25/10 = 2.5 hourw
it took Lois 2.5 hours to ride to her friend's house.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The ratio of the two speeds is 10:25 = 2:5. Because the distances there and back are the same, the ratio of times at the two speeds is 5:2.

Let x be the number of hours it took Lois to ride to her friend's house
Then x-1.5 is the number of hours it took her to return home

The ratio of the numbers of hours is 5:2

ANSWER: It took Lois 2.5 hours to ride to her friend's house

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