# A container ship left hawaii eight hours before a cruise ship. The vessels travelle in opposite directions. The cruise ship traveled at 27 mph for five hours. After this time the vessels were 382 miles apart. Find the container ship's speed.

Question
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A container ship left hawaii eight hours before a cruise ship. The vessels travelle in opposite directions. The cruise ship traveled at 27 mph for five hours. After this time the vessels were 382 miles apart. Find the container ship's speed.

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Step 1

To set up equations from the word problem and solve for the container ship's speed

Step 2

Let the speed of the container ship be x mph. It has travelled 13 x miles in 13 hours. In 5 hours  the cruise ship has travelled 27*5=135miles. Given that 135+13x = 382. (note : they travel in opposite directions, so the distances add up.

Step 3

Solve for x&...

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