Neco Model Questions Vol1 2024 Mathematics Question 10

Practice essay / theory question 10 from the 2024 Neco Model Questions Vol1 Mathematics examination. This question covers Variation .

Neco Model Questions Vol1 2024 Mathematics Essay / Theory
Topic: Variation
Question 10 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

The time \(T\) (in minutes) required to paint a wall varies directly as the area \(A\) (in m²) of the wall, varies inversely as the number of painters \(p\), and also varies inversely as the square root of the average painting speed \(s\) (in m² per minute per painter).

Question Parts

( a )
When \(A = 40\) m², \(p = 4\) painters and \(s = 2\) m²·min⁻¹·painter⁻¹, the wall is painted in 10 minutes. Determine the constant of variation \(k\).
( b )
Using the constant found in part (a), calculate the time required to paint a wall of area \(A = 60\) m² if 5 painters work at a speed of \(s = 3\) m²·min⁻¹·painter⁻¹.
( c )
If the same wall (area 60 m²) must be painted in exactly 8 minutes with the same painting speed \(s = 3\) m²·min⁻¹·painter⁻¹, determine the minimum integer number of painters required.

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About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 10. It is one of the essay questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

The question covers Variation .

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