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A boat can go 40 km downstream and 25 km upstream in 7 hours 30 minutes. It can go 48 km downstream and 36 km
upstream in 10 hours. What is the speed (in km/h) of the boat in still water?
6
12
9
15
- You are given two scenarios involving the boat's travel downstream and upstream.
- In the first scenario, the boat takes 7.5 hours to travel 40 km downstream and 25 km upstream.
- In the second scenario, it takes 10 hours to travel 48 km downstream and 36 km upstream.
- Let x be the speed of the boat in still water, and y be the speed of the stream.
- The equations formed are:
- 40x+y+25x−y=7.5
- 48x+y+36x−y=10
- Solving these equations together helps find x.
Answer: Option 2, 12 km/h
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