Question

Jennifer is driving her boat West at a speed of 12 mph. The current is moving due South at 5 mph.

Answer 1

Speed is the rate of distance over time.

The speed of the boat is 13mph south-west

Given

$v_1 = 12mph$ --- west

$v_2 = 5mph$ -- south

The speed is illustrated with the attached image

Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:

$v^2 = 12^2 + 5^2$

$v^2 = 144 + 25$

$v^2 = 169$

Take square root

$v = \sqrt{169$

$v = 13$

Hence, the speed of the boat is 13mph south-west

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