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    Question

    Suniti goes to gym at a speed of 3 km/hr and returns

    back at a speed of 5 km/hr. If she takes 8 hrs in all. Find the distance between her home and gym.
    A 18 km Correct Answer Incorrect Answer
    B 16 km Correct Answer Incorrect Answer
    C 15 km Correct Answer Incorrect Answer
    D 10 km Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let the distance between her home and gym be D. According to the question, D/3 + D/5 = 8 5D + 3D = 8 × 15 8D = 8 × 15 D = 15 km Alternate method: The LCM of 3 and 5 = 15, so distance is 15 km. T = 15/3 = 5 hrs T = 15/5 = 3 hrs Total time = 5 + 3 = 8 hrs. 8 hrs = 15 km 1 hrs = 15 x 8 km 15 hrs = 15 × 8 /15 = 15 km.

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