স্রোতের বিপরীতে 40 কিমি একটি নির্দিষ্ট দূরত্ব যেতে একজন নাবিকের সময় লাগে 8 ঘন্টা এবং একই দূরত্ব স্রোতের অনুকূলে যেতে তার সময় লাগে মাত্র 5 ঘন্টা। স্থির জলে নাবিকের গতিবেগ কত ছিল?

This question was previously asked in
RRB ALP Previous Paper 8 (Held On: 13 Aug 2018 Shift 3)
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  1. 1.5 কিমি/ঘণ্টা
  2. 4.5 কিমি/ঘণ্টা
  3. 6.5 কিমি/ঘণ্টা
  4. 4 কিমি/ঘণ্টা

Answer (Detailed Solution Below)

Option 3 : 6.5 কিমি/ঘণ্টা
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ধরা যাক x হল নাবিকের গতিবেগ এবং y হল জলের স্রোতের গতিবেগ 

স্রোতের বিপরীতে যাওয়ার সময় গতিবেগ = (x –y)

⇒ 40/ (x – y) = 8

⇒ x – y = 5      ---- (1)

এখন স্রোতের অনুকূলে​ যাওয়ার সময় গতিবেগ = (x + y)

⇒ 40/ (x + y) = 5

⇒ x + y = 8      ----(2)

সমীকরণ 1 এবং 2 থেকে আমরা পাই 

x = 6.5 কিমি/ঘণ্টা

∴ নাবিকের গতিবেগ = 6.5 কিমি/ঘণ্টা
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