SOLUTION: Two hikers, Alan and Ben, are 8.2 miles apart and walking towards each other. they meet in 2 hours. Find the rate of each hiker if Ben walks 0.5 mph faster than alan. Alans rate

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Question 547814: Two hikers, Alan and Ben, are 8.2 miles apart and walking towards each other. they meet in 2 hours. Find the rate of each hiker if Ben walks 0.5 mph faster than alan.
Alans rate of speed
Ben rate of speed..

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of 1 hiker as standing still
and the other approaching him at the
sum of their speeds.
Let +s+ = Alan's speed in mi/hr
+s+%2B+.5+ = Ben's speed in mi/hr
+2s+%2B+.5+ = the sum of their speeds
------------------------------
given:
+8.2+=+%28+2s+%2B+.5+%29%2A2+
+8.2+=+4s+%2B+1+
+4s+=+7.2+
+s+=+1.8+
+s+%2B+.5+=+2.3+
Alan's speed is 1.8 mi/hr
Ben's speed is 2.3 mi/hr