Question

    A cyclist travelled for the first 100 km at a certain

    speed in 4 hours. After that, the speed of the cyclist decreased by 3 km/h. If the cyclist took a total of 7 hours to reach his destination, then find the total distance travelled by the cyclist.
    A 100 km Correct Answer Incorrect Answer
    B 125 km Correct Answer Incorrect Answer
    C 166 km Correct Answer Incorrect Answer
    D 165 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of the cyclist by which he travelled 100 km = 100/4 = 25 km/h Time taken to cover the remaining distance = 7 - 4 = 3 hours Decreased speed of the cyclist = 25 - 3 = 22 km/h Distance travelled with decreased speed = 22 × 3 = 66 km Therefore, required distance = 100 + 66 = 166 km

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