SOLUTION: Brothers Jack and Paul do brisk walking from their house to school daily. Jack walks at 9km/h, and Paul walks at 5 km/h. When Jack reaches the school, Paul is 500 m away. How far i

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Question 329352: Brothers Jack and Paul do brisk walking from their house to school daily. Jack walks at 9km/h, and Paul walks at 5 km/h. When Jack reaches the school, Paul is 500 m away. How far is the school from the boys' house?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the distance from home to school be x
jack speed = 9km/h
distance =x
time taken = x/9 hours
Paul speed = 5km/h
distance = x-0.5 km
these times are same
..
x/9 = x-0.5/5
5x/9=x-0.5
x-5x/9=0.5
9x-5x/ 9 =0.5
4x/9=0.5
4x=4.5
x=4.5/4
x=1.125 km distance to school