Discussion
In 6 hours a tank is filled. After the tank is half filled, 3 more similar taps are opened. Estimate the total time the tank will take to fill.
Answer: D
One tap fills the tank in 6 hours, so the first half takes 3 hours. Three more taps then join it, making four in all and quadrupling the rate:
\[ \text{time for the second half} = \frac{3 \text{ hours}}{4} = 45 \text{ minutes} \]
\[ \text{total} = 3\text{ h} + 45\text{ min} = 3\text{ h }45\text{ min} \]
The three extra taps are added to the original one, not substituted for it - reading it as three taps in total would give an hour for the second half.
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