Subject

    Quantitative Aptitude

    Topic

    Algebra

    An aero plane flying with the wind cover a certain distance in 2 hrs the return trip against the wind takes 2.5 hrs. How fast is the plane, if the one –way distance is 600 miles? (In miles/hour)

    ক)
    270
    খ)
    30
    গ)
    240
    ঘ)
    60
    ঙ)
    250

    Explanation

    Let the speed of the plane be x miles/hrs Let the speed of the wind be y miles/hrs Speed = distance/time Speed of plane against wind = x - y Speed of plane with wind = x + y ∴600x−y=2.5∴600x−y=52\begin{array}{l} \therefore \frac{{600}}{{x - y}} = 2.5\\ \therefore \frac{{600}}{{x - y}} = \frac{5}{2} \end{array} ∴ 240 = x - y    ….(i) ∴ 600 / (x + y) = 2 ∴ x + y = 300    ….(ii) Adding (i) and (ii) ∴ 2x = 540 ∴ x = 270 ∴speed of plane = 270 miles/hrs

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