Neco 2025 Mathematics Question 10

Practice essay / theory question 10 from the 2025 Neco Mathematics examination. This question covers Variation .

Neco 2025 Mathematics Essay / Theory
Topic: Variation
Question 10 NECO • 2025 • MATHEMATICS • essay

The time \(t\) (in minutes) required to fill a cylindrical tank varies directly as the volume \(V\) (in litres) of water and inversely as the rate of flow \(r\) (in litres per minute). The flow rate \(r\) itself varies directly as the pressure \(p\) (in kPa) and inversely as the length \(L\) (in metres) of the supplying pipe.

Question Parts

( a )
Write the combined variation formula that relates \(t\) to \(V, p\) and \(L\) using a single constant \(k\).
( b )
When \(V = 500\) L, \(p = 200\) kPa, \(L = 5\) m, the measured filling time is \(t = 20\) min. Determine the numerical value of the constant \(k\).
( c )
Using the constant found in part (b), calculate the time required to fill the tank when \(V = 800\) L, \(p = 250\) kPa and \(L = 4\) m. Give your answer to one decimal place.
( d )
Briefly explain how each of the variables \(V, p\) and \(L\) influences the filling time, based on the derived formula.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2025 Mathematics Question 10. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers Variation .

View More Neco 2025 Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support