SOLUTION: A cabin cruiser left the harbor and traveled to a small island at 24 mph. On the return the cruiser traveled at a speed of 16 mph. The total time was 5 hours. How far was the islan

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Question 800751: A cabin cruiser left the harbor and traveled to a small island at 24 mph. On the return the cruiser traveled at a speed of 16 mph. The total time was 5 hours. How far was the island from the harbor?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the one-way distance between
the harbor and the island = +d+
Let +t+ = the time to go from
the harbor to the island
-----------------------
Equation for harbor to island:
(1) +d+=+24t+
Equation for island to harbor
(2) +d+=+16%2A%28+5+-+t+%29+
--------------------
By substitution:
+24t+=+16%2A%28+5+-+t+%29+
+24t+=+80+-+16t+
+40t+=+80+
+t+=+2+
and
(1) +d+=+24t+
(1) +d+=+24%2A2+
(1) +d+=+48+
The distance between them is 48 miles
check:
(2) +d+=+16%2A%28+5+-+t+%29+
(2) +d+=+16%2A%28+5+-+2+%29+
(2) +d+=+48+
OK