SOLUTION: A train leaves a station and travels north at a speed of 50 mph. Five hours​ later, a second train leaves on a parallel track and travels north at 175 mph. How far from the s
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Question 1076973: A train leaves a station and travels north at a speed of 50 mph. Five hours later, a second train leaves on a parallel track and travels north at 175 mph. How far from the station will they meet?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find the head start in miles for the 1st train
mi
------------------------
Let = distance in miles the 2nd train
travels until they meet
Let = time in hrs after 2nd train leaves
until they meet
------------------------------------------
Equation for 1st train:
(1)
Equation for 2nd train:
(2)
-----------------------
Plug (2) into (1)
(1)
(1)
(1)
and
(2)
(2)
(2)
They will meet 350 mi from the station
--------------------
check:
(1)
(1)
(1)
(1)
OK
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