Question : Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely?
Option 1: 9 hours 30 minutes
Option 2: 8 hours
Option 3: 7 hours 12 minutes
Option 4: 10 hours 24 minutes
Correct Answer: 7 hours 12 minutes
Solution : Hourly work of pipe A = $\frac{1}{12}$ Hourly work of pipe B = $\frac{1}{18}$ Hourly work of pipe A and B = $\frac{1}{12}+\frac{1}{18}$ = $\frac{15+10}{180}$ = $\frac{25}{180}$ = $\frac{5}{36}$ Thus, the tank can be filled completely in $\frac{36}{5}$ hrs = 7.2 hrs = 7 hours 12 minutes Hence, the correct answer is '7 hours 12 minutes'.
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Question : Two pipes, A and B, can fill a tank in 15 hours and 18 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?
Option 1: $8 \frac{2}{11}$
Option 2: $9 \frac{2}{11}$
Option 3: $7 \frac{2}{11}$
Option 4: $10 \frac{2}{11}$
Question : Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously?
Option 1: $\frac{50}{7}$
Option 2: $\frac{15}{7}$
Option 3: $\frac{30}{7}$
Option 4: $\frac{20}{7}$
Question : An inlet pipe can fill an empty tank in 3.6 hours, while an outlet pipe can drain a completely filled tank in 6.3 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get completely filled?
Option 1: 9
Option 2: 8.4
Option 3: 8.1
Option 4: 8.7
Question : Pipes A and B can fill a tank in 18 minutes and $22 \frac{1}{2}$ minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in ____.
Option 1: $5$ minutes
Option 2: $8 \frac{2}{5}$ minutes
Option 3: $7 \frac{1}{5}$ minutes
Option 4: $6$ minutes
Question : Pipes A, B and C can fill an empty tank in $\frac{30}{7}$ hours if all three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how much time (in hours) can pipe B alone fill the empty tank?
Option 1: 3
Option 2: 5
Option 3: 6
Option 4: 4
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