SOLUTION: The bullet train in Japan leaves a station at 5 A.M. and travels north at 50 mph. At 6 A.M., a passenger train leaves on a parallel track and travels north at 55 mph. How long will
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-> SOLUTION: The bullet train in Japan leaves a station at 5 A.M. and travels north at 50 mph. At 6 A.M., a passenger train leaves on a parallel track and travels north at 55 mph. How long will
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Question 1019822: The bullet train in Japan leaves a station at 5 A.M. and travels north at 50 mph. At 6 A.M., a passenger train leaves on a parallel track and travels north at 55 mph. How long will it take the passenger train to overtake the bullet train? Found 2 solutions by josmiceli, Alan3354:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! What is the bullet train's head start
in mi/hr ?
The difference between 5 AM and 6 AM is 1 hr mi
Start a stopwatch when the passenger train leaves
at 6 AM
Let = time on stopwatch in hrs when
passenger train overtakes the bullet train
Let = distance in miles passenger train
travels until it catches up with bullet train
------------------------------------
Equation for bullet train:
(1)
Equation for passenger train:
(2)
------------------------
Substitute (2) into (1)
(1)
(1)
(1)
The passenger train overtakes the bullet train
in 10 hrs
--------------
Check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
