Problema Solution
Wendy took a trip from city A to city B, a distance of 180 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 80 mi/h. The entire trip took 3.5 hours. How long did Wendy spend on the train?
Answer provided by our tutors
let
d = 180 mi the distance
x = 40 mi/h the speed of the bus
y = 80 mi/h the speed of the train
t = 3.5 hours
t1 = the time in the bus
t2 = the time in the train
t1 + t2 = 3.5
t1*40 + t2*80 = 180
by solving this system of equations we find
t1 = 2.5 hours
t2 = 1 hour
Wendy spent 1 hour in the train.