Multiple choice

A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job? एक पाइप जिसका व्यास d है टंकी को 40 मिनट में खली करता है तो दूसरा पाइप इसी टंकी को कितने मिनट में खाली करेगा जिसका व्यास 2d है?

  1. 5 minutes /मिनट

  2. 10 minutes/मिनट

  3. 20 minutes/मिनट

  4. 80 minutes/मिनट

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The rate of drainage is proportional to the cross-sectional area of the pipe, which depends on the square of the radius (or diameter). When diameter doubles from d to 2d, the area increases by factor of 4, so the drainage rate becomes 4 times faster. Therefore, time becomes 40/4 = 10 minutes. The claimed answer is correct.