Problema Solution
Roma drove 245 miles from home to the city, in the return trip she increased her speed by 14mph. If her return trip took 2 hours less time find her original speed and her speed returning home.
Answer provided by our tutors
let
v = the original speed from home to the city
t = the time of the travel to the city
v + 14 = the speed returning from the city to home
t - 2 = the time of the travel to home
d = 245 mi the distance in one direction
v*t = d
v*t = 245
t = 245/v
(v + 14)(t - 2) = d
(v + 14)(t - 2) = 245
plug t = 245/v into the last equation
(v + 14)(245/v - 2) = 245
by solving we find
v = 35 mph
click here to see the step by step solution of the equation
v + 14 = 35 + 14 = 49 mph
the original speed was 35 mph.
the returning speed was 49 mph.