Net rate from volumetric velocities with one outlet Taps A, B, C have velocities 42 L/h, 56 L/h and 48 L/h. A and B are inlets; C is an outlet. If all three are opened together from empty and the tank fills in 16 hours, what is the tank’s capacity?

Difficulty: Easy

Correct Answer: 800 L

Explanation:


Introduction / Context:
When volumetric flow rates are given directly, the net inflow is the algebraic sum of the listed L/h values (taking the outlet as negative). Capacity equals net rate multiplied by time to fill.



Given Data / Assumptions:

  • A = +42 L/h, B = +56 L/h, C = −48 L/h.
  • Tank fills in 16 h.
  • Flows are steady and additive.


Concept / Approach:
Net flow = 42 + 56 − 48. Capacity = net flow * time.



Step-by-Step Solution:

Net = 50 L/hCapacity = 50 * 16 = 800 L


Verification / Alternative check:
Reverse check: 800 / 16 = 50 L/h, which equals 42 + 56 − 48.



Why Other Options Are Wrong:
960, 1600, 2346 are inconsistent with the stated time and flows.



Common Pitfalls:
Adding the outlet as positive instead of subtracting.



Final Answer:
800 L

More Questions from Pipes and Cistern

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion