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. ]A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11:30 am. The two trains cross one another at
[ Read the following questions carefully and choose the right answer. ]A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11:30 am. The two trains cross one another at
ক)
8:36 amখ)
8:56 amগ)
9:00 amঘ)
9:24 amExplanation
প্রশ্নে বলা হচ্ছে, একটি ট্রেন A স্টেশন হতে 7 টার সময় ছেড়ে দিয়ে B স্টেশনে 11 টার সময় পৌছায় । অপর একটি ট্রেন B হতে 8 টার সময় ছেড়ে দিয়ে A স্টেশনে 11:30 মিনিটে পৌছায় । ট্রেন দুটি কখন পরস্পরকে অতিক্রম করে ? প্রথম ট্রেনটি A হতে B তে যেতে সময় নেয় = 11-7 = 4 ঘন্টা দ্বিতীয় ট্রেনটি B হতে A তে যেতে সময় নেয় = 11.0-8 = 3.30 = 3 1/2 =7/2 ঘন্টা এখন ধরি, স্টেশন দুটির মধ্যবর্তী দুরত্ব x km অতএব, প্রথম ট্রেনের গতিবেগ = x/4 kmph দ্বিতীয় ট্রেনের গতিবেগ = x/(7/2) = 2x/7 kmph আবার ধরি 7 টার পরে ত্রেন দুটি t ঘন্টা পরে সাক্ষাৎ করে । এই সময়ে প্রথম ট্রেন যায় xt/4 km এবং দ্বিতীয় ট্রেন 8 টায় রওনা দেয় বলে সে (t-1) ঘন্টা চলবে । দ্বিতীয় ট্রেন এই (t-1) ঘন্টা যায় = 2x(t-1)/7km এখানে, xt/4 + 2x(t-1)/7 = x => 7xt +8xt - 8x/28 = x => 15xt - 8x = 28x =>15t - 8 = 28 [ উভয় পক্ষে x দ্বারা ভাগ করে ] => 15t = 36 => t = 36/15 = 2.4 ঘন্টা => t = 2 ঘন্টা [ কারণ, 1 ঘন্টা = 60 মিনিট ] t=2 ঘন্টা 24 মিনিট [ ∴ 0.4 ঘন্টা = 60×0.4 = 24 মিনিট ] তাহলে ট্রেন দুটি 7 টায় 2 ঘন্টা 24 মিনিট পর সাক্ষাৎ করবে, অর্থাৎ 9.24 মিনিটে সাক্ষাৎ করবে ।Related questions
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