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User123
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Tyro
Asked: 2021-04-21T15:07:17+00:00 In: ,

Geometry of Motion (kinematics)……………..

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The distance between Port A and Port B is 9 nm. If a boat travels at 18 knots to Port B and returns back to Port A at 15 knots, what is the average speed for the whole journey? Note: The average speed is equal to the total distance divided by the total time of travel.

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  2. acedstud

    Note that 1 knot = 1 nautical mile per hour (1 nm/hr).

    The time spent by the boat to travel from port A to port B is given by \dfrac{9\text{ nautical mile}}{18\text{ nautical mile per hour}}=0.5\text{ hours}.

    The time spent by the boat to travel from port B back to port A is \dfrac{9\text{ nautical miles}}{15\text{ nautical mile per hour}}=0.6\text{ hours}.

    Thus, the total distance traveled is 9 nm + 9 nm = 18 nm, and the total time taken is 0.5 hours + 0.6 hours = 1.1 hours.

    Therefore, the average speed is the total distance traveled divided by the total time taken = \dfrac{18\text{ nautical mile}}{1.1\text{ hours}}\approx16.36\text{ nuatical miles per hour}.

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