Subject

    Bank Exam

    Topic

    Joint Recruitment Test for 8 Banks (SO) [03-09-2019, AUST

    [ Read the following questions carefully and choose the right answer. ]with a uniform speed, a car covers a distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 hour and 30 minutes . What is the distance covered ?

    ক)
    420 km
    খ)
    480 km
    গ)
    520 km
    ঘ)
    640 km

    Explanation

    প্রশ্নে বলা হচ্ছে, সুষম বেগে একটি গাড়ি একটি নির্দিষ্ট দূরত্ব 8 ঘন্টায় অতিক্রম করে । বেগ 4 kmph বাড়ানো হলে ঐ একই দূরত্ব অতিক্রম করতে গাড়িটির 7 1/2 ঘন্টা সময় লাগত । স্থানটির দূরত্ব কত ? ধরি, স্থান দুটির মধ্যবর্তী দূরত্ব x কিলোমিটার আমরা জানি, v=d/t [ v=বেগ; d=দুরত্ব; t=সময় ] => t = d/v তাই x/7.5 এবং x/8 এর পার্থক্যই হবে 4 kmph. কারণ x/7.5 এবং x/8 উভয়ই হলো গতিবেগ । প্রশ্নমতে, x/7.5-x/8 = 4   => x ×10/75 - x/8 = 4 => 2x/15-x/8 =4     => 16x-15x/120 = 4 x = 480 অর্থাৎ স্থান দূটির মধ্যবর্তী দূরত্ব 480 km.
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