Problema Solution
Sam spends one hour traveling to and from school each day. If he averages 4mph riding to school and 8mph returning home, how far is it from his home to school?
Answer provided by our tutors
distance = speed * time
let 'x' represent the time, in hours, travelling to school, then '1-x' represents the time in hours travelling from school
the distance is the same, so we set the speed*time expressions equal to each other:
4x = 6(1-x)
solving for 'x' we have x=0.6
so Sam travels 4mph for 0.6 hours:
distance = 4 * 0.6 = 2.4
his home is 2.4 miles from school