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A boat covers a fixed distance against the current in 9 hours 36 minutes, and covers the same distance with the current in 6 hours. What is the ratio of the boat's speed in still water to the speed of the current?
- 13 : 3
- 9 : 2
- 11 : 6
- 8 : 5
Correct answer: 13 : 3
Solution
With upstream time 9.6 h and downstream time 6 h, if distance = D, then upstream speed = D/9.6 and downstream speed = D/6. Still-water speed proportional to (1/9.6 + 1/6)/2 = 13/48; current speed proportional to (1/6 - 1/9.6)/2 = 3/48. Ratio = 13:3.
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