SOLUTION: Two people live in two separate houses connected by a 36 km path. At dawn, they both leave their own home, taking the path to visit the other. The first person is carrying a pack a

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Question 990561: Two people live in two separate houses connected by a 36 km path. At dawn, they both leave their own home, taking the path to visit the other. The first person is carrying a pack and walks at 3 km per hour, while the second person ate nutritious breakfast and walks at a constant rate of 5 km per hour. How long after dawn do they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one person standing still
and the other walking towards the other at
the sum of their speeds
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Let +t+ = time in hrs
+36+=+%28+3+%2B+5+%29%2At+
+36+=+8t+
+t+=+4.5+
They meet 4.5 hrs after dawn
-----------------
check:
+d%5B1%5D+=+3t+
+d%5B1%5D+=+3%2A4.5+
+d%5B1%5D+=+13.5+ km
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+d%5B2%5D+=+5t+
+d%5B2%5D+=+5%2A4.5+
+d%5B2%5D+=+22.5+ km
-------------------
+13.5+%2B+22.5+=+36+
OK