Problema Solution
At 7:00 AM a loaded freight train leaves Pittsburgh at 25 mph. At 11:00 AM, an AmTrak train leaves the same station on a parallel track traveling at 65 mph. How far from the station will both trains be when the AmTrak train passes the freight train? (Round answer to nearest mile.)
Answer provided by our tutors
let
t = travel time of Pittsburgh train (25 mph train)
v1 = 25 mph the rate of the Pittsburgh train
t - 4 = travel time of AmTrak train (65 mph train)
v2 = 65 mph the rate of the AmTrak train
since speed = distance/time follows distance=time*speed
both trains travel the same distance:
25t=65(t-4)
by solving we find:
t = 6.5 hr
click here to see the step by step solution of the equation:
the distance from the station is: 6.5*25 = 162.5 miles.