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T varies directly as D and inversely as A. Given that T = 6, D...

Mathematics
NECO 2005

T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.

  • A. 4
  • B. 6
  • C. 8
  • D. 12
  • E. 24
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Correct Answer: Option C
Explanation

T = \(\frac{ \text{KD}}{\text{A}}\)

6 = \(\frac{3K}{2}\)

3K = 12

K = 4

T= \(\frac{4D}{A}\)

but T = 3, D = 6 and A =?

T = \(\frac{4D}{A}\)

A = \(\frac{4D}{T}\)

A = \(\frac{4 \times 6}{3}\) = 8


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
WAEC offline past questions - with all answers and explanations in one app - Download for free