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    Question

    A boat takes a total of 6 hours to go 24 km downstream

    and return 24 km upstream. The stream speed is 3 km/h. Find the speed of the boat in still water.
    A 12 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 23 Correct Answer Incorrect Answer

    Solution

    Let speed in still water = b km/h. Then 24/(b + 3) + 24/(b − 3) = 6. ⇒ 48b = 6b² − 54 ⇒ b² − 8b − 9 = 0 ⇒ b = 9.

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