Bece Model Questions Vol1 2021 Mathematics Question 7

Practice essay / theory question 7 from the 2021 Bece Model Questions Vol1 Mathematics examination. This question covers Rates, Work and Time, Mixture .

Bece Model Questions Vol1 2021 Mathematics Essay / Theory
Topics: Rates Work and Time Mixture
Question 7 BECE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • essay

A rectangular water tank can be filled by two inlet pipes, A and B. Pipe A can fill the tank in 6 hours when operating alone, while pipe B can fill it in 8 hours when operating alone. The tank, however, has a small leak that empties water at a constant rate of one‑twelfth (\(\frac{1}{12}\)) of the tank per hour. Both pipes are opened together while the leak remains open.

Question Parts

( a )
Calculate the total time, in hours, required to fill the tank completely when both pipes and the leak are operating together.
( b )
After the tank becomes full, the leak is closed but pipe B is switched off while pipe A continues to operate. How long will it take for pipe A alone to empty the full tank through the leak?
( c )
Explain, in a short paragraph, how the presence of the leak influences the overall efficiency of using both pipes together compared with using pipe A alone.

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About This Question

This is Bece Model Questions Vol1 2021 Mathematics Question 7. It is one of the essay questions from the 2021 Bece Model Questions Vol1 Mathematics examination.

The question covers Rates, Work and Time, Mixture .

View More Bece Model Questions Vol1 2021 Mathematics Questions More Bece Model Questions Vol1 Practice Questions Back to Questions

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