Subject

    Bank Exam

    Topic

    জনতা ব্যাংক লিমিটেড আরসি (রুরাল ক্রেডিট) - ২৭.১০.২০২৩

    A student walks from his house at a speed of (5/2) km per hour and reaches his school 6 minutes late. The next day he increases his speed by 1 km per hour and reaches 6 minutes before school time. How far is the school from his house?

    ক)
    5/4 km
    খ)
    7/4 km
    গ)
    9/4 km
    ঘ)
    11/4 km

    Explanation

    Let, the school is at x kilometer distance , usual time is t km/hr Now x/(5/2) = t + (6/60) or, 2x/5 = t + (1/10) or, 4x = 10t + 1 or, 4x - 10t = 1 or, 28x - 70t = 7 [multiplying by 7] Again x/{(5/2) + 1} = t - 6/60 or, 2x/7 = t - (1/10) or, 20x = 70t - 7 [multiplying by 70] or, 20x - 70t = - 7 28x - 70t - 20x + 70t = 7 + 7 or, 8x = 14 or, x = 14/8 or, x = 7/4

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