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The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5
hours. Find the speed of the stream.
3 km/h
8 km/h
7 km/h
4 km/h
To solve this problem, we need to find the speed of the stream:
- Downstream:
- Distance = 20 km
- Time = 2 hours
- Effective speed = Distance/Time = 20/2 = 10 km/h
- Upstream:
- Time = 5 hours
- Effective speed = Distance/Time = 20/5 = 4 km/h
- Concept:
- Let the speed of the boat in still water = B km/h
- Speed of the stream = S km/h
- Downstream speed = B + S
- Upstream speed = B - S
- Equations based on the problem:
1. B + S = 10
2. B - S = 4
- Solving these equations:
- Add both equations: 2B = 14 => B = 7
- Substitute B in either equation to find S: S = 3
- Correct Option: 1
- ?? 3 km/h is the speed of the stream.
??
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