Answer :
Final answer:
When the diameter of a pipe doubles, the cross-section area quadruples, allowing water to drain four times as fast. Therefore, a tank that previously drained in 40 minutes would drain in 20 minutes with a pipe of twice the diameter.
Explanation:
This question is related to the concept of fluid dynamics, specifically velocity of flow through pipes. In simplified terms, to ensure continuity of flow, the amount of fluid that flows past any point is constant. That said, when the diameter (d) of the pipe is doubled (2d), it will have four times the cross-section area (since area = πd²). Hence, the water will drain out four times as fast.
Given that the initial diameter 'd' can drain the tank in 40 minutes, then a pipe of diameter '2d' should drain the same tank in a quarter of that time. Therefore, the correct answer is (C) 20 minutes.
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