SOLUTION: Two buses leave Charlotte at the same time traveling in opposite directions. One bus travels at 54 mph and the other at 61 mph. How soon will they be 517.5 miles apart

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Question 1026237: Two buses leave Charlotte at the same time traveling in opposite directions. One bus travels at 54 mph and the other at 61 mph. How soon will they be 517.5 miles apart
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as one of the buses standing still
and the other one moving at the sum of their
speeds until they are 517.5 mi apart
+517.5+=+%28+54+%2B+61+%29%2At+
+517.5+=+115t+
+t+=+517.5%2F115+
+t+=+4.5+
They will be 517.5 mi apart in 4.5 hrs
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check:
Slower bus:
+d%5B1%5D+=+54%2A4.5+
+d%5B1%5D+=+243+ mi
and
+d%5B2%5D+=+61%2A4.5+
+d%5B2%5D+=+274.5+
and
+d%5B1%5D+%2B+d%5B2%5D+=+243+%2B+274.5+
+d%5B1%5D+%2B+d%5B2%5D+=+517.5+
which is correct -OK