Two taps filling a tank

Two taps filling a tank

Secondary 2
TGM Original Questions

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

Solution:

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Answer:(a) \(\frac1x\); (b) \(\frac1{x+3}\); (d) \(x=3\) h; (e) \(360\) min.

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