Subject

    Quantitative Aptitude

    Topic

    Time and Work

    If 3 men or 9 boys can finish a piece of work in 21 days,in how many days can 5 men and 6 boys together do the same piece of work?

    ক)
    8
    খ)
    12
    গ)
    14
    ঘ)
    none of these

    Explanation

    (প্রশ্ন- যদি ৩ জন পুরুষ বা ৯ জন বালক একটি কাজ ২১ দিনে করতে পারে।তাহলে ৫ জন পুরুষ এবং ৬ জন বালক একত্রে একই কাজ কত দিনে করতে পারবে?) ৩ জন পুরুষ  ২১ দিনে সম্পন্ন করে ১ অংশ ১ জন পুরুষ ১ দিনে সম্পন্ন করে ১/(২১ ×৩) =১/৬৩ অংশ ৯ জন বালক ২১ দিনে সম্পন্ন করে ১ অংশ ১ জন বালক ১ দিনে সম্পন্ন করে ১/(৯ ×২১)=১/১৮৯ অংশ ৫ জন পুরুষ এবং ৬ জন বালকের ১ দিনের সম্পন্ন কাজ =(৫/৬৩)+(৬/১৮৯) =(৫/৬৩)+(২/৬৩) =(৫+২)/৬৩ =৭/৬৩ =১/৯ অতএব ৫ জন পুরুষ এবং ৬ জন বালক একত্রে কাজটি ৯ দিনে করতে পারবে।
    The number  of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?Two pipes can fill a tank in 5 minutes and 6 minutes respectively and a third pipe empties the full tank in 10 minutes. How much time will be taken to fill the tank if all pipes open simultaneously?8 men can complete a piece of work in 20 days.8 women can complete the same work in 32 days.In how many days will 5 men and 8 women together complete the same work?Two pipes fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 min. The capacity of the tank is?5 men and 2 boys working together can do four times as much work as a man and a boy.Working capacities of a man and a boy are in the ratio:P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?Jason won some goldfish at the state fair. During the first week 1/5 of them died and during the second week, 3/8 of those still alive at the end of the first week died. What fraction of the original goldfish were still alive after two weeks?

    Find Tutors

    View all Tutors