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Pinky can swim 27 km downstream or 15 km upstream in 3 hours. What is the velocity of the current?
3 km/h
5 km/h
4 km/h
2 km/h
- Pinky can swim downstream 27 km in 3 hours, which implies her downstream speed is 27 km / 3 hrs = 9 km/h.
- Pinky can swim upstream 15 km in 3 hours, meaning her upstream speed is 15 km / 3 hrs = 5 km/h.
- Let "b" represent her swimming speed in still water and "c" the current's speed.
- Downstream, the effective speed = b+c; Upstream, the effective speed = b−c.
- We have these equations:
- b+c=9
- b−c=5
- Adding those equations:
- 2b = 14
- b = 7
- Subtracting the upstream equation from the downstream equation gives:
- 2c = 4
- c = 2 km/h
- Thus, the current's velocity is 2 km/h.
Answer: Option 4 - 2 km/h
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