Problema Solution
Two trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the first train is 26 mph more than that of the second train. What is the distance between these towns?
Answer provided by our tutors
let
t1 = 2 hr 48 min = 2 + 48/60 hr = 2.8 hr the time of the first train
t2 = 4 hr 40 min = 4 + 40/60 hr = 4 + 2/3 hr = 14/3 hr the time of the second train
v + 26 = the rate of the first train
v = the rate of the second train
d = the distance, d>0
since speed = distance/time we have:
v + 26 = d/2.8
v = d/(14/3)
by solving the above system of equations we find:
d = 182 mi
click here to see the step by step solution of the system of equations:
the distance between the towns is 182 miles.