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    Question

    The ratio of the distances traveled by a boat in

    upstream and downstream is 6:7, respectively, and the total time taken to cover the desired distance is 73 hours. Given that the speed of the current is 40 km/h, which is 8 km/h less than the speed of the boat in still water, determine the distance traveled by the boat upstream.
    A 400 km Correct Answer Incorrect Answer
    B 220 km Correct Answer Incorrect Answer
    C 528 km Correct Answer Incorrect Answer
    D 128 km Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the distance covered by the boat in upstream be β€˜6a’ km and the distance covered by boat in downstream be β€˜7a’ km. Speed of the boat in still water = 40 + 8 = 48 km/h According to question, {(6a/(48 – 40)} + {7a/(48 + 40)} = 73 Or, (6a/8) + (7a/88) = 73 Or, (73a/88) = 73 Or, a = 88 Distance travelled by the boat in upstream = 6a = 528 km

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