Boat travel time calculation
Created with 2.5 Pro (experimental) April 2, 2025 at 08:58 PM Published April 2, 2025 at 11:11 PM
A boat sails at 15km/h in still water. It spends 8 hours floating from upstream location A to downstream location B, with the water speed 3km/h. How long does it take to return from B to A?
Okay, let's break this down step-by-step:
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Calculate the downstream speed:
- When the boat travels downstream (from A to B), its speed is its speed in still water plus the speed of the current.
- Downstream speed = Boat speed + Water speed
- Downstream speed = 15 km/h + 3 km/h = 18 km/h
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Calculate the distance between A and B:
- We know the downstream speed and the time it took to travel downstream.
- Distance = Speed × Time
- Distance (A to B) = 18 km/h × 8 hours = 144 km
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Calculate the upstream speed:
- When the boat travels upstream (from B to A), its speed is its speed in still water minus the speed of the current.
- Upstream speed = Boat speed - Water speed
- Upstream speed = 15 km/h - 3 km/h = 12 km/h
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Calculate the time to return from B to A:
- We know the distance (which is the same as A to B) and the upstream speed.
- Time = Distance / Speed
- Time (B to A) = 144 km / 12 km/h = 12 hours
So, it will take the boat 12 hours to return from B to A.
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