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 150m long crosses a milestone in 15 seconds and crosses another train of the same length travelling in the opposite direction in 12 seconds. The speed of the seconds train in km/hr is
[ Read the following questions carefully and choose the right answer. ]A train 150m long crosses a milestone in 15 seconds and crosses another train of the same length travelling in the opposite direction in 12 seconds. The speed of the seconds train in km/hr is
ক)
52 km/hrখ)
56 km/hrগ)
54 km/hrঘ)
58 km/hrExplanation
প্রশ্নে বলা হচ্ছে, 150 মিটার দীর্ঘ একটি ট্রেন 15 সেকেন্ডে একটি মেইল ফলক অতিক্রম করে এবং বিপরীত দিক থেকে আসা একই দৈর্ঘ্যের অপর একটি ট্রেনকে 12 সেকেন্ডে অতিক্রম করে । দ্বিতীয় ট্রেনের গতিবেগ কত ? ট্রেনের সাপেক্ষে মাইফলকের দৈর্ঘ্য 0 ধরে নিয়ে ট্রেনের গতিবেগ বের করতে হবে । এক্ষেত্রে ট্রেনটি 150 মিনিট দূরত্ব অতিক্রম করে 15 সেকেন্ডে, তাই প্রথম ট্রেনের গতিবেগ = 150/10ms -1 এখন ধরি দ্বিতীয় ট্রেনের গতিবেগ x ms -1 যেহেতু, ট্রেন দুটি বিপরীত অভিমুলী, তাই আপেক্ষিক বেগ হবে ( x+10 ) ms -1 এখন, আমরা জানি, ট্রেন দুটি সাক্ষাতের সময় নির্ণেয়র সূত্রঃ d 1 +d 2 /v 1 +v 2 [ d 1 = ১ম ট্রেন দৈর্ঘ্য; d 2 = ২য় ট্রেনের দৈর্ঘ্য; v 1 = ১ম ট্রেনের বেগ; v 2 = ২য় ট্রেনের বেগ ] তাই, 12 = 150+120/10+x => 12 = 300/10+x => 12(10+x) = 300 => 10+x = 300/12 = 25 x = 25-10 = 15 অর্থাৎ দ্বিতীয় ট্রেনের গতিবেগ 15 ms -1 = ( 15×18/5 ) = 54 km/hrRelated questions
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