SOLUTION: Mike launches from his kayak from ramp A. At the same time, Julie launches her kayak from ramp B, 15 miles away. mike paddles upstream toward Ramp B at 2mph. Julie paddles downstre

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Question 901295: Mike launches from his kayak from ramp A. At the same time, Julie launches her kayak from ramp B, 15 miles away. mike paddles upstream toward Ramp B at 2mph. Julie paddles downstream toward Ramp A at 3mph. How many miles from ramp a will mike and Julie be when they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = distance in miles Mike has to travel
Let +d%5B2%5D+ = distance Julie has to travel
Let +t+ = time in hours until they meet
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Mike's equation:
(1) +d%5B1%5D+=+2t+
Julie's equation:
(2) +d%5B2%5D+=+3t+
(3) +d%5B1%5D+%2B+d%5B2%5D+=+15+
------------------------
Substitute (1) and (2) into (3)
(3) +2t+%2B+3t+=+15+
(3) +5t+=+15+
(3) +t+=+3+ hrs
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(1) +d%5B1%5D+=+2t+
(1) +d%5B1%5D+=+2%2A3+
(1) +d%5B1%5D+=+6+
Mike and Julie will be 6 mi from
ramp A when they meet
-----------------------
check:
(2) +d%5B2%5D+=+3t+
(2) +d%5B2%5D+=+3%2A3+
(2) +d%5B2%5D+=+9+
+d%5B1%5D+%2B+d%5B2%5D+=+6+%2B+9+
+d%5B1%5D+%2B+d%5B2%5D+=+15+
OK