<PRE><B>Question 152159</B>
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per hour and train B is traveling at 104 miles per hour. Train A passes a station at 11:10AM. If train B passes the same station at 11:40AM, at what time will train B catch up to train
:
Determine how far from train A is train B
From the given times, we know that Train B is 30 min from the station at 11:10 AM
Therefore:
104 * .5 = 52 miles
:
Let t = time from 11:10 that train B catches train A
;
Write a distance equation: Dist = speed * time
104t = 100t + 52
:
104t - 100t = 52
:
4t = 52
t = {{{52/4}}}
t = 13 hrs
:
From 11:10 Am, 13 hrs would be 00:10 AM</PRE>