Two taps filling a tank

Two taps filling a tank

Secondary 2
10 marks
TGM Original Questions

Optional extension

Tap A fills a tank in \(x\) hours and Tap B in \((x+3)\) hours. Together they fill it in \(2\) hours.

  1. State Tap A’s one-hour fraction.[2]
  2. State Tap B’s one-hour fraction.[2]
  3. Form an equation and show that \(x^2-x-6=0\).[2]
  4. Solve and reject the invalid root.[2]
  5. Find Tap B’s filling time in minutes.[2]

Solution:

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Answer:(a) \(\dfrac1x\) (b) \(\dfrac1{x+3}\) (d) \(x=3\) h (e) \(360\) min. (c) \(x^2-x-6=0\) (shown).

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