SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 MPH and Train B is Traveling at 50 MPH. Train A passes a station at 3:10 P.M. If T
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Question 183239: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 MPH and Train B is Traveling at 50 MPH. Train A passes a station at 3:10 P.M. If Train B passes the same station at 3:22 P.M. when will Train B catch Train A? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Each train has it's own equation
and
given: mi/hr mi/hr
Assume I have a stopwatch, and I start it when
when train B passes the station 12 min, or
of an hour after train A has passed. I will stop
the stopwatch when they meet.
How much of a headstart does train A have when B
passes the station? Let = headstart distance mi
the distance A has to travel compared to B is: mi
Their time of travel will be the same (I'll call it )
------------------
I can rewrite the equations
----------------------
(1)
(2)
This is 2 equations and 2 unknowns so it's solvable
(1)
(2)
Subtract (2) from (1)
(1)
(2)
(3)
(3) hr (or min)
This is the time that passes since train B goes through
station at 3:22 PM
The trains will meet at 4:10 PM
check answer:
(1)
(2)
------------------------
(1)
(1)
(1) mi
(2)
(2) mi
OK
