SOLUTION: A container ship left Hawaii and travelled north at an average speed of 15 km/h. A cruise ship 1.9 hours later and traveled in the opposite direction with an average speed of 12.6

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Question 597367: A container ship left Hawaii and travelled north at an average speed of 15 km/h. A cruise ship 1.9 hours later and traveled in the opposite direction with an average speed of 12.6 km/h. Find the number of hoours the cruise ship needs to travel before the vessels are 125.1 km apart.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First find how many km head start the container
ship has.
d%5B1%5D+=++15%2A1.9+=+28.5+ km
Let +t+ = the number of hours the cruise ship needs
to travel before the vessels are 125.1 km apart.
The container ship also travels for time +t+
after it's head start
+d%5B2%5D+=+12.6t+ km
+d%5B3%5D+=+15t+ km
--------------
+d%5B1%5D+%2B+d%5B2%5D+%2B+d%5B3%5D+=+125.1+ km
+28.5+%2B+12.6t+%2B+15t+=+125.1+
+12.6t+%2B+15t+=+125.1+-+28.5+
+27.6t+=+96.6+
+t+=+3.5+
The cruise ship travels for 3.5 hours until the
vessels are 125.1 km apart