SOLUTION: A train leaves Danielsville junction in travels north at a speed of 75 mph two hours later a second train leaves on my parallel track and travels north at 125 mph how far from the

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Question 1050579: A train leaves Danielsville junction in travels north at a speed of 75 mph two hours later a second train leaves on my parallel track and travels north at 125 mph how far from the station will then meet
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In 2 hrs, the 1st train's head start is:
+d%5B1%5D+=+75%2A2+
+d%5B1%5D+=+150+ mi
---------------------
Start a stopwatch when the 2nd train leaves
Let +t+ = time in hrs on the stopwatch when
they meet
Let +d+ = distance in miles the 2nd train
travels until they meet
---------------------
Equation for 1st train:
(1) +d+-+150+=+75t+
Equation for 2nd train:
(2) +d+=+125t+
----------------------
substitute (2) into (1)
(1) +125t+-+150+=+75t+
(1) +50t+=+150+
(1) +t+=+3+ hrs
and
(2) +d+=+125t+
(2) +d+=+125%2A3+
(2) +d+=+375+ mi
They will meet 375 mi from the station
--------------------
check:
(1) +d+-+150+=+75t+
(1) +d+-+150+=+75%2A3+
(1) +d+=+225+%2B+150+
(1) +d+=+375+
OK