SOLUTION: Two buses leave towns 580 miles apart at the same time and travel toward each other. One bus travels 19 mi/h slower than the other. If they meet in 4 hours, what is the

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Question 1141934: Two buses leave towns 580 miles
apart at the same time and travel toward each other. One bus travels 19 mi/h

slower than the other. If they meet in 4
hours, what is the rate of each bus?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the faster bus
+s+-+19+ = the speed of the slower bus
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This is the same as if one of the buses travels at
the sum of their speeds for the entire distance, so
+580+=+%28+s+%2B+s+-+19+%29%2A4+
+145+=+2s+-+19+
+2s+=+164+
+s+=+82+
and
+s+-+19+=+63+
The speed of the faster bus is 82 mi/hr
The speed of the slower bus is 63 mi/hr
----------------------------------------------
check:
+d%5B1%5D+=+63%2A4+
+d%5B1%5D+=+252+
and
+d%5B2%5D+=+82%2A4+
+d%5B2%5D+=+328+
--------------------
+d%5B1%5D+%2B+d%5B2%5D+=+252+%2B+328+
+d%5B1%5D+%2B+d%5B2%5D+=+580+ mi
OK