Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 12/3hours, it must travel at a speed of:

    ক)
    300 kmph
    খ)
    360 kmph
    গ)
    600 kmph
    ঘ)
    720 kmph

    Explanation

    Given: Speed = 240 kmph Time = 5 hours New time = 1⅔ hours = 5/3 hours Step 1: Find the distance Distance = Speed × Time Distance = 240 × 5 = 1200 km Step 2: Find the required speed for new time Speed = Distance ÷ Time Speed = 1200 ÷ (5/3) Speed = 1200 × (3/5) Speed = 1200 × 3 ÷ 5 Speed = 3600 ÷ 5 Speed = 720 kmph Verification: Original: 240 kmph × 5 hours = 1200 km New: 720 kmph × 5/3 hours = 720 × 5/3 = 1200 km ✓ Therefore, the answer is D) 720 kmph . Key Formula: When distance is constant, Speed₁ × Time₁ = Speed₂ × Time₂

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