SOLUTION: Mike and Adam left a bus terminal at the same time and traveled in opposite directions. Mike’s bus was in heavy traffic and had to travel 20 miles per hour slower than Adam’

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Question 1045092: Mike and Adam left a bus terminal at the same time and traveled in opposite directions. Mike’s bus was in heavy traffic and had to travel 20 miles per hour slower than Adam’s bus. After 3 hours, their buses were 270 miles apart. How fast was each bus going?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of Adam's bus in mi/hr
+s+-+20+ = the speed of Mike's bus in mi/hr
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Since they are travelling in opposite directions, you
can think of this as one of them standing still and
the other covering the +270+ miles at the sum
of their speeds
---------------------
+270+=+%28+s+%2B+s+-+20+%29%2A3+
+270+=+%28+2s+-+20+%29%2A3+
+270+=+6s+-+60+
+6s+=+330+
+s+=+55+
and
+s+-+20+=+35+
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Adam's speed is 55 mi/hr
Mike's speed is 35 mi/hr
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check answer:
Adam's equation:
+d%5B1%5D+=+55%2A3+
+d%5B1%5D+=+165+ mi
-----------------
Mike's equation:
+d%5B2%5D+=+35%2A3+
+d%5B2%5D+=+105+ mi
-----------------
+d%5B1%5D+%2B+d%5B2%5D+=+270+
+165+%2B+105+=+270+
+270+=+270+
OK