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In Mathematics / High School | 2014-11-21

It takes a boat 4 hours to travel 75 km downstream. Let [tex]x[/tex] represent the boat’s speed in still water, and let [tex]y[/tex] represent the water’s current in kilometers per hour.

Which equation models this situation?

Asked by ammarissa96

Answer (3)

75 / 4 = x+ y :))))))))))))))))))

Answered by ilyallaa | 2024-06-10

you have x=speed then you have y=current. V=distance divided bt time or time divided by volocity the equation for downstream speed is X+Y the equation for upstream speed is X-Y. to solve you have 5(30+x)=10(30-x) 150+5x=300-10x 5x+10x=300-150 15x=150 X=10mph

Answered by lovie246 | 2024-06-10

The equation that models the situation is x + y = 18.75 , where x is the boat's speed in still water and y is the speed of the current. This relationship arises from the distance traveled downstream being equal to speed times time. Therefore, the boat's effective speed downstream is calculated based on its own speed and the current's speed.
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Answered by ilyallaa | 2024-12-26

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