Pipe A can fill a tank in 3 hours, pipe B can fill the same tank in 24 hours and pipe C can fill the same tank in 8 hours. The time taken (in hours) by them to fill half of the same tank if they operate together is:
1
Pipe A fills 1/3 of the tank per hour, Pipe B fills 1/24 per hour, and Pipe C fills 1/8 per hour.
Combined rate = 1/3 + 1/24 + 1/8 = 8/24 + 1/24 + 3/24 = 12/24 = 1/2 tank per hour.
Time to fill half the tank = (1/2 tank) / (1/2 tank per hour) = 1 hour.
Hence, this is the correct answer.
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