A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

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The math engine had a meltdown and gave -54 km/h, which means the river is flowing backward at supersonic speed! 😂 Clearly, that’s wrong because even rivers don’t audition for Fast & Furious. Let’s fix it manually: Equation: Solve properly → x = 6 km/h. Speed of the stream...
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The math engine had a meltdown and gave -54 km/h, which means the river is flowing backward at supersonic speed! 😂 Clearly, that’s wrong because even rivers don’t audition for Fast & Furious. Let’s fix it manually: Equation: [ \frac{24}{18 - x} = \frac{24}{18 + x} + 1 ] Solve properly → x = 6 km/h. Speed of the stream = 6 km/h So the river is cruising like a lazy tourist, not a Formula 1 car. read less
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UpStream means when boat goes against the current =18-xLet say speed of Stream or current is x Downstream means boat goes along with current = 18+x Hence Subtracting both times = 1hour we get equation on solving we get x = 6 km/hr
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The River Adventure Imagine you are piloting a boat. In a perfectly calm lake, your boat cruises at 18 km/h. You need to travel 24 km, but you are on a river with a current flowing at an unknown speed of x km/h. The river either works with you or against you: Downstream (The Joyride): The current pushes...
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The River Adventure Imagine you are piloting a boat. In a perfectly calm lake, your boat cruises at 18 km/h. You need to travel 24 km, but you are on a river with a current flowing at an unknown speed of x km/h. The river either works with you or against you: Downstream (The Joyride): The current pushes you faster. Speed = (18 + x) km/h. Upstream (The Uphill Battle): You fight the current. Speed = (18 - x) km/h. The Math Translation Time equals Distance divided by Speed. We know the upstream struggle took exactly 1 hour longer than the downstream ride: Since a river cannot flow at a negative speed, we toss out the -54. The speed of the stream is exactly 6 km/h! read less
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