SOLUTION: Two trains leave stations 456 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 90 miles per hour. How l

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Question 723684: Two trains leave stations 456 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as one train standing still and the
other moving at the sum of their speeds.
Let +t+ = the time in hours for them to meet
+456+=+%28+100+%2B+90+%29%2At+
+t+=+456+%2F+190+
+t+=+2.4+
They will meet in 2.4 hrs
check:
Faster train:
+d%5B1%5D+=+100%2A2.4+
+d%5B1%5D+=+240+ mi
and
Slower train:
+d%5B2%5D+=+90%2A2.4+
+d%5B2%5D+=+216+ mi
----------------
+d%5B1%5D+%2B+d%5B2%5D+=+240+%2B+216+
+d%5B1%5D+%2B+d%5B2%5D+=+456+
OK