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A cistern takes 2 hours to fill with the tap on full and 3 hours with the tap half open. Is this consistent with the tap filling at a steady rate?

Class 8Leaks and Changing PipesDirect and Inverse Proportions
  • AYes, exactly
  • BNo: half open should take 4 hours
  • CNo: it should take 1 hour
  • DYes, if the cistern leaks

Step-by-Step Solution

Half the flow means double the time: 4 hours, not 3. (The last option is not what the question describes.)
Answer: B) No: half open should take 4 hours

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