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Pipes A and B can fill a tank in 20 hours and 30 hours respectively and pipe C can empty the full tank in 40 hours. If all the pipes are opened together, how much time will be needed to make the tank full ?

Solution

✅ Correct Option: 3

Combined rate =120+130−140=\frac{1}{20}+\frac{1}{30}-\frac{1}{40}.

LCM 120: 6+4−3120=7120\frac{6+4-3}{120}=\frac{7}{120} tank/hour.

Time =1207=1717=\frac{120}{7}=17\frac{1}{7} hours.

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