Multiple choice

Water flows in to a tank 15 m.×10 m. through a rectangular pipe 2 m.×1.5 m. at 20 km./hr. In how much time will the water level in the tank rise by 3m.? একটি আয়তক্ষেত্রাকার পাইপ (2 মি × × 1.5 মি) এর মাধ্যমে একটি ট্যাংকে (15 মি × × 10 মি) 20 কিমি / ঘন্টা হারে জল প্রবাহিত হয়। কত সময়ে ট্যাঙ্কের জলের উচ্চতা মাত্র 3 মিটার বাড়বে?

  1. 20 seconds

  2. 22 seconds

  3. 24 seconds

  4. 27 seconds
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D Correct answer
Explanation

Pipe area = 2*1.5 = 3 m^2. Speed = 20 km/hr = 20000/3600 m/s = 50/9 m/s. Volume flow rate = 3 * 50/9 = 50/3 m^3/s. Tank volume to fill = 15*10*3 = 450 m^3. Time = 450 / (50/3) = 450 * 3 / 50 = 27 seconds.

AI explanation

To raise the level by 3 meters, the required volume is 15 multiplied by 10 multiplied by 3, which equals 450 cubic meters. The pipe provides water at 2 multiplied by 1.5 multiplied by 20000 divided by 3600, equaling 16.67 cubic meters per second. Dividing 450 by 16.67 gives the time of 27 seconds.

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