Three pipes A, B and C can fill a tank separately in 8 h, 10 h and 20h, respectively. Find the time taken by all the three pipes to fill the tank when the pipes are opened together.

A) \( \Large 5\frac{7}{11} \)
B) \( \Large 4\frac{7}{11} \)

C) \( \Large 8\frac{7}{11} \)
D) \( \Large 3\frac{7}{11} \)

Correct answer:
D) \( \Large 3\frac{7}{11} \)

Description for Correct answer:
Part filled by A in 1 h = \( \Large \frac{1}{8} \)

Part filled by B in 1 h = \( \Large \frac{1}{10} \)

Part filled by C in 1 h = \( \Large \frac{1}{20} \)

Part filled by (A + B + C) in 1 h = \( \Large \frac{1}{8}+\frac{1}{10}+\frac{1}{20} = \frac{5+4+2}{40} = \frac{11}{40} \)

Therefore, Required time to fill the tank = \( \Large \frac{40}{11}h = 3\frac{7}{11}h \)

Please provide the error details in above question

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