Problema Solution
Lila travels from Winnipeg to Calgary, a distance of 1210km, by train and bus. the train travels at 90km/h and the bus travels at 80km/h. if the total trip takes 14 hours how far did he travel by bus? By train?
Answer provided by our tutors
let
a = the distance traveled by train
b = the distance traveled by bus
t = the time traveled by train
14 - t = the time traveled by bus
Lila travels from Winnipeg to Calgary, a distance of 1210km
a + b = 1210
the train travels at 90km/h and the bus travels at 80km/h and the total trip takes 14 hours
90^t = a => t = a/90
80(14 - t) = b
lets plug t = a/90 into last equation
80(14 - a/90) = b
by solving the system of equations
a + b = 1210
80(14 - a/90) = b
we find
a = 810 km
b = 400 km
click here to see the step by step solution of the system of equations
Lila traveled 810 km by train and 400 km by bus.