Question:
A tank can be filled by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6 hours. If all the taps are turned on simultaneously, the tank will be full in
A tank can be filled by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6 hours. If all the taps are turned on simultaneously, the tank will be full in
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Always treat an outlet as a negative rate and add algebraically to get the net filling rate.
Updated On: Aug 12, 2025
- 1 hour
- 40 minutes
- 1.5 hours
- 3 hours
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The Correct Option is C
Solution and Explanation
Step 1 (Rates): $A=\frac{1}{2}$, $B=\frac{1}{3}$, $C=-\frac{1}{6}$ tank/h.
Step 2 (Net rate): $\frac12+\frac13-\frac16=\frac{4}{6}=\frac{2}{3}$ tank/h.
Step 3 (Time): $\text{Time}=\dfrac{1}{2/3}=\boxed{\dfrac{3}{2}\text{ h}}=1.5$ h.
Step 2 (Net rate): $\frac12+\frac13-\frac16=\frac{4}{6}=\frac{2}{3}$ tank/h.
Step 3 (Time): $\text{Time}=\dfrac{1}{2/3}=\boxed{\dfrac{3}{2}\text{ h}}=1.5$ h.
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