Question

    The speed of boat downstream and upstream is 36 km/hr

    and 26 km/hr respectively. Time taken to travel a distance of (k + 60) km downstream and (l + 40) km upstream is 16 hours, and time taken to travel (k + 120) km upstream and (l + 80) km downstream is 22 hours. Find the approximate difference between the value of k and value of l.
    A 221.63 Correct Answer Incorrect Answer
    B 421.66 Correct Answer Incorrect Answer
    C 384.22 Correct Answer Incorrect Answer
    D 290.22 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    We are given: The speed of the boat downstream = 36 km/h The speed of the boat upstream = 26 km/h The time for traveling (k+60) km downstream and (l+40) km upstream is 16 hours. The time for traveling (k+120) km upstream and (l+80) km downstream is 22 hours.

    After solving these equations, we find: k=321.86 and l = 100.23 The difference between k and l is: k − l = 321.86 − 100.23 = 221.63 So, the difference between k and l is 221.63.

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