SOLUTION: Train "A" leaves the station going south at a rate of 50 miles per hour. Train "B" leaves the same station one hour later headed north traveling at 60 miles per hour. How long has

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Question 469349: Train "A" leaves the station going south at a rate of 50 miles per hour. Train "B" leaves the same station one hour later headed north traveling at 60 miles per hour. How long has train "A" been traveling when the two trains are 270 miles apart ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How much of a head start does train A have?
+d%5B1%5D+=+50%2A1+
+d%5B1%5D+=+50+ mi
Start a stopwatch when train B leaves station
You can think of this situation as one train
being stationary and the other train traveling
at the sum of their speeds
+270+=+50+%2B+%2850+%2B+60%29%2At+
+270+=+50+%2B+110t+
+110t+=+220+
+t+=+2+ hrs
Train B has been traveling for 2 hrs when A and B
are 270 mi apart
Train A has been traveling for +2+%2B+1+=+3+ hrs
when A and B are 270 mi apart