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    Question

    A girl cycles to her school at 40 km/h and returns home

    at 32 km/h. If the total time taken for the entire journey is 135 minutes, find the distance between her home and school.
    A 32 km Correct Answer Incorrect Answer
    B 58 km Correct Answer Incorrect Answer
    C 40 km Correct Answer Incorrect Answer
    D 65 km Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the required distance be D km. (D/40) + (D/32) = 135/60 ⇒ (9D/360) + (10D/320) = 9/4 ⇒ (72D/2880) + (90D/2880) = 9/4 ⇒ (162D/2880) = 9/4 ⇒ D = (9 × 2880) / (4 × 162) = 25920 / 648 = 40 km

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