Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train had travelled 100 km more than the second. Find the distance between P and Q?

    ক)
    1280 km
    খ)
    680 km
    গ)
    900 km
    ঘ)
    624 km
    ঙ)
    None of these

    Explanation

    We know that, formula: ⇒ Speed = Distance/Time. Let they meet after ‘a’ hours, Then, distance covered by Train ‘P’ = 50a, And, distance covered by Train ‘Q’ = 40a. Now, we have ⇒ 50a – 40a = 100 ⇒ a = 10 hours. Since, both these have travelled 10 hours each, Distance travelled by Train P = 50 × 10 = 500 km Distance travelled by train Q = 40 × 10 = 400kms Total distance = 500 + 400 = 900 km.

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