SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes a st
Question 578444: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes a station at 3:10 pm. If train B passes the same station at 3:40 pm, at what time will train B catch up to train A? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour.
Train A passes a station at 3:10 pm.
If train B passes the same station at 3:40 pm, at what time will train B catch up to train A?
:
From the given information, we know that Train B is .5 hrs behind A at at 3:10 pm
therefore Train B is:
.5 * 84 = 42 miles behind Train A at that time.
:
Let t = time required for Train B to catch Train A
:
Write a distance equation; dist = speed * time
:
Train B dist = Train A dist + 42 mi
84t = 80t + 42
84t - 80t = 42
4t = 42
t =
t = 10.5 hrs for B to catch A
:
Convert 10.5 hrs to 10 hrs 30 min
:
Find the time from 3:10 pm: + 10:30 = 13:40 which is:
1:40 AM
