SOLUTION: A boy cycles from his house to a friend's house at 20 km/h and home again 25km/h. If his round trip takes 9/10 of an hour, how far is it to his friend's house? I need the workin

Algebra.Com
Question 357287: A boy cycles from his house to a friend's house at 20 km/h and home again 25km/h. If his round trip takes 9/10 of an hour, how far is it to his friend's house?
I need the working out steps
thank you

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let the distance be x km
time forward = x/20 hours
...
time return = x/25 hours
...
x/20 + x/25 = 9/10
...
(5x+4x) / 100 = 9/10
9x/100 = 9/10
90x= 900
x=10 km distance to friend's house
..
m.ananth@hotmail.ca

RELATED QUESTIONS

A boy cycles from his house to a friend's house at 20 km/h and home again at 25 km/h. If... (answered by Alan3354)
A boy cycles from his house to a friend's house at 20km per hour and home again at 25km... (answered by ankor@dixie-net.com)
It took Steve 6 hours to drive to his house from his cousins at a velocity of 90 KM/H.... (answered by TimothyLamb)
Ralph jogs from his home to the stadium at 10 km/h. His trip home takes exactly one hour... (answered by checkley77)
If a boy walks from his house to school at 4 km/h, he reaches the school 10 minutes... (answered by josgarithmetic,josmiceli)
Alan cycles everyday from home to school and back. The school is 6km from his home. He... (answered by josmiceli)
John drives from his house to a beach 150 miles away, and at the end of the day drives... (answered by solver91311)
A man cycles from his office to his house at a speed of 5 km/hr and reaches 10 minutes... (answered by josmiceli)
jim leaves home at 2:30. he cycles 39km to a friend's house at an average speed of... (answered by ewatrrr)