Question 1204127
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.