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To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream?
3 km/h
1 km/h
1.5 km/h
2 km/h
- The rower takes 12 hours to go 144 km upstream.
- So, upstream speed = 144 km / 12 hours = 12 km/h.
- The rower takes 9 hours to go 144 km downstream.
- So, downstream speed = 144 km / 9 hours = 16 km/h.
- Let the speed of the rower in still water be "b" km/h and speed of the stream be "s" km/h.
- Upstream speed: b - s = 12 km/h.
- Downstream speed: b + s = 16 km/h.
- Adding both equations:
- 2b = 28
- b = 14 km/h.
- Subtracting the first equation from the second:
- 2s = 4
- s = 2 km/h.
- Hence, the speed of the stream is 2 km/h.
Option:4, 2 km/h is the correct answer.
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