Problema Solution
two diff.routes between two cities differ by 20 min.two people made the trip between the cities in exactly the same time.one traveled the shorter route at 50 mi/h,and the other traveled the longer route at 55 mi/h.find the the length of each route.
Answer provided by our tutors
we will assume that the two different routes between the two cities differ by 20 miles
let
t = the time of the travel
since speed = distance/time follows distance = speed*time we have:
50t + 20 = 55t
by solving we find:
t = 4 hr
click here to see the step by step solution of the equation:
the length of the shorter route is: 50t = 50*4 = 200 mi.
the length of the longer route is: 55*4 = 220 mi.