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Ten identical taps fill a tank in 36 minutes. After 12 minutes, four of the taps are closed. How long do the remaining taps take to finish the job?

Competition practicePipes & Cisterns

A $14 \frac{2}{5}$ min
B40 min
C24 min
D52 min

Step-by-Step Solution

Work

= 10 \times 36 = 360

tap-minutes. Done in 12 min:

10 \times 12 = 120

. Left 240 with 6 taps:

\frac{240}{6} = 40

min. (52 min is the total time from the start.)

Answer: B) 40 min

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