Problema Solution
Mom rides to work 24km/h and walks home 12km/h. Altogether she is 2 hours and 30 minutes on the road. what is the distance between the house and her work?
Answer provided by our tutors
distance = speed * time
the distance is the same, so we set the speed * time expressions equal to each other
2 hours and 30 minutes = 2.5 hours
let 'x' represent the time spend riding, then '2.5-x' represents the time spent walking and we have:
24x = 12(2.5-x)
solving for 'x' we have x=5/6
Mom rides for 5/6 of an hour at 24 km/h, so the distance is:
(5/6)*24 = 20
the distance is 20 km