Subject

    Quantitative Aptitude

    Topic

    Time and Work

    5 women complete a work in 5 days and 5 children take 6 days to complete the same work. How many days will 3 women and 3 children together take to complete the work?

    ক)
    55/10
    খ)
    72/11
    গ)
    54/11
    ঘ)
    50/11
    ঙ)
    None of these

    Explanation

    ➤ ৫ জন মহিলা ৫ দিনে কাজ শেষ করে ⇒ ১ জন মহিলা পুরো কাজ শেষ করবে = ৫ × ৫ = ২৫ দিনে ⇒ তাহলে ১ দিনে ১ জন মহিলার কাজ = ১/২৫ ⇒ ৩ জন মহিলার ১ দিনের কাজ = ৩/২৫ ➤ ৫ জন শিশু ৬ দিনে কাজ শেষ করে ⇒ ১ জন শিশু কাজ শেষ করবে = ৬ × ৫ = ৩০ দিনে ⇒ তাহলে ১ দিনে ১ জন শিশুর কাজ = ১/৩০ ⇒ ৩ জন শিশুর ১ দিনের কাজ = ৩/৩০ = ১/১০ ➤ এখন ৩ জন মহিলা ও ৩ জন শিশুর ১ দিনের মোট কাজ = = (৩/২৫) + (১/১০) = (6/50) + (5/50) = 11/50 ⇒ তারা একসাথে পুরো কাজ শেষ করবে = ৫০/১১ দিন
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