SOLUTION: Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of
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Question 1040794: Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles apart. How many nautical miles had each boat traveled by the end of the 8-hour period? Please help and explain Answer by solver91311(24713) (Show Source):
A knot is a nautical mile per hour, so 10 knots per hour would be 10 nautical miles per hour per hour -- an acceleration, NOT a speed. The faster boat travels 10 knots faster than the slower boat.
Let represent the speed of the slower boat, then must be the speed of the faster boat. Since they are going in opposite directions, the speed they are moving apart is the sum of their speeds, or . In 8 hours, they would travel nautical miles. So, solve:
for and then calculate . Multiply each speed times 8 hours to get the distance travelled by each of the boats.
John
My calculator said it, I believe it, that settles it
