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দুটি ট্রেন যথাক্রমে 310 মিটার এবং 330 মিটার দীর্ঘ এবং একে অপরের থেকে 160 মিটার দূরে রয়েছে। তারা সমান্তরাল ট্র্যাকের উপর যথাক্রমে 130 কিমি/ঘন্টা এবং 158 কিমি/ঘন্টা গতিবেগে একে অপরের দিকে চলতে শুরু করে। কত সময়ে (সেকেন্ডে) ট্রেন দুটি একে অপরকে অতিক্রম করবে?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 02 Jul, 2024 Shift 4)
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  1. 18
  2. 8
  3. 12
  4. 10

Answer (Detailed Solution Below)

Option 4 : 10
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প্রদত্ত:

ট্রেন 1 এর দৈর্ঘ্য = 310 মিটার

ট্রেন 2 এর দৈর্ঘ্য = 330 মিটার

ট্রেন দুটির মধ্যে দূরত্ব = 160 মিটার

ট্রেন 1 এর গতিবেগ = 130 কিমি/ঘন্টা

ট্রেন 2 এর গতিবেগ = 158 কিমি/ঘন্টা

অনুসৃত সূত্র:

যখন দুটি বস্তু একে অপরের দিকে চলে তখন তাদের আপেক্ষিক গতিবেগ = ট্রেন 1 এর গতিবেগ + ট্রেন 2 এর গতিবেগ 

সময় = মোট দূরত্ব / আপেক্ষিক গতিবেগ 

গণনা:

কিমি/ঘন্টা থেকে মিটার/সেকেন্ডে গতিবেগ রূপান্তর করুন:

ট্রেন 1 এর গতিবেগ মিটার/সেকেন্ডে = 130 x (1000/3600)

ট্রেন 1 এর গতিবেগ মিটার/সেকেন্ডে = 130 x (5/18)

ট্রেন 1 এর গতিবেগ মিটার/সেকেন্ডে = 36.11 মিটার/সেকেন্ড

ট্রেন 2 এর গতিবেগ মিটার/সেকেন্ডে = 158 x (1000/3600)

ট্রেন 2 এর গতিবেগ মিটার/সেকেন্ডে = 158 x (5/18)

ট্রেন 2 এর গতিবেগ মিটার/সেকেন্ডে = 43.89 মিটার/সেকেন্ড

আপেক্ষিক গতিবেগ = 36.11 + 43.89

আপেক্ষিক গতিবেগ = 80 মিটার/সেকেন্ড

মোট দূরত্ব যা অতিক্রম করতে হবে = ট্রেন 1 এর দৈর্ঘ্য + ট্রেন 2 এর দৈর্ঘ্য + ট্রেন দুটির মধ্যে দূরত্ব

মোট দূরত্ব = 310 + 330 + 160

মোট দূরত্ব = 800 মিটার

সময় = মোট দূরত্ব / আপেক্ষিক গতিবেগ 

সময় = 800 / 80

⇒ সময় = 10 সেকেন্ড

সঠিক উত্তরটি বিকল্প 4

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Latest SSC CHSL Updates

Last updated on Jul 22, 2025

-> The Staff selection commission has released the SSC CHSL Notification 2025 on its official website.

-> The SSC CHSL New Application Correction Window has been announced. As per the notice, the SCS CHSL Application Correction Window will now be from 25.07.2025 to 26.07.2025.   

-> The SSC CHSL is conducted to recruit candidates for various posts such as Postal Assistant, Lower Divisional Clerks, Court Clerk, Sorting Assistants, Data Entry Operators, etc. under the Central Government. 

-> The SSC CHSL Selection Process consists of a Computer Based Exam (Tier I & Tier II).

-> To enhance your preparation for the exam, practice important questions from SSC CHSL Previous Year Papers. Also, attempt SSC CHSL Mock Test.  

->UGC NET Final Asnwer Key 2025 June has been released by NTA on its official site

->HTET Admit Card 2025 has been released on its official site

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