SOLUTION: Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 90 miles per

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Question 921188: Two trains leave stations
448
miles apart at the same time and travel toward each other. One train travels at
70
miles per hour while the other travels at
90
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
70t + 90t = 448
160t = 448
t = 448/160 = 2.8 hr

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 traveling at the sum of their speeds
Let +t+ = time in hrs for them to meet
--------------------
+448+=+%28+70+%2B+90+%29%2At+
+t+=+448%2F160+
+t+=+2.8+ hrs
+.8%2A60+=+48+
In 2 hrs and 48 min they will meet
---------------
check:
For slower train:
+d%5B1%5D+=+70%2A2.8+
+df%5B1%5D+=+196+
For faster train:
+d%5B2%5D+=+90%2A2.8+
+d%5B2%5D+=+252+
----------------
+d%5B1%5D+%2B+d%5B2%5D+=+196+%2B+252+
+d%5B1%5D+%2Bd%5B2%5D+=+448+
OK