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    Question

    Amrita traveled a certain distance, covering 50% of it

    at a speed of 15 km/h, then 40% of the remaining distance at 7.5 km/h, and the rest at 9 km/h. If it took her a total of 14 hours to complete the entire journey, what is the total distance she covered?
    A 150 km Correct Answer Incorrect Answer
    B 120 km Correct Answer Incorrect Answer
    C 145 km Correct Answer Incorrect Answer
    D 250 km Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, We can say that distance covered by Amrita be ‘100a’ km. Distance covered at 15 km/h = 100a × 0.50 = ‘50a’ km Distance covered at 7.5 km/h = 50a × 0.40 = ‘20a’ km Distance covered at 9 km/h = 50a – 20a = ‘30a’ km ATQ; (50a/15) + (20a/7.5) + (30a/9) = 14 Or, 150a + 120a + 150a = 14 × 45 Or, 420a = 14 × 45 So, a = 1.5 So, required distance = 100 × 1.50 = 150 km

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