SOLUTION: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a sta

Question 419207: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''.
what time will train b catch up to train a??
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The key is to find out how much of a head start train A has.
The difference between 4:20 and 4:50 is hrs
So, A's head start is
mi
Another key is the fact they will be traveling for the same
amount of time after B passes station
-------------
Start a stopwatch when B leaves station
train A:

train B:

----------
By substitution:

This says that hrs after B passes station, B catches A
4:50 AM + 5 = 9:50 AM answer
----------
check answer

mi
This is the distance B goes from station
Train A went this distance in hrs

OK

Answer by Alan3354(69443) (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 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''.
what time will train b catch up to train a??
----------------------
Train A is 20 miles ahead at 0450 (40 mph * 0.5 hr)
Train B gains on train A at 4 mph (44- 40)
20 mi/4 mph = 5 hours
0450 + 5 = 0950 or 9:50 AM

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