Problema Solution

Janet drove 75 miles per hour on the way to vist her parents. On the way back to school, she drove 60 miles per hour and it took her 1 hour more than it did to drive to her parents home. How far is Janet's school from her parents home?

Answer provided by our tutors

let


d = the distance from Janet's school to her parents home

v1 = 70 mph

t = the time of the travel from her parents to school

v2 = 60 mph

t + 1 = the time of the travel from school to her parents


since speed = distance/time => distance = speed*time


d = v1*t


d = 70t divide both sides by 70


t = d/70 and plug into


d = v2*(t + 1)


v2(d/70 + 1) = d


60(d/70 + 1) = d


by solving we find


d = 420 miles


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Janet's school is 420 miles far from her parents home.