Problema Solution
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at
100
miles per hour. The westbound train travels at
90
miles per hour. How long will it take for the two trains to be
266
miles apart?
Answer provided by our tutors
let
v1 = 100 mph the speed of the eastbound train
v2 = 90 mph the speed of the westbound train
d = 266 mi the distance between the trains
t = the time of the travels in hours
since distance = speed*time and the trains travel in opposite directions we have:
v1*t + v2*t = d
100t + 90t = 266
by solving we find:
t = 1.4 hr
t = 1 hr 0.4*60 min
t = 1 hr 24 min
click here to see the step by step solution of the equation:
it takes 1.4 hours or 1 hr and 24 minutes for the two trains to be 266 miles apart.