Pipe A and B can fill a tank in 10 hours and 8 hours respectively. After certain time, pipe A was closed. It took a total of 6 hours to fill the tank completely. For how many hours did pipe A work?

A) \( \Large 4 \frac{1}{4} \ hours \)
B) \( \Large 2 \frac{1}{2} \ hours \)

C) \( \Large 3 \frac{1}{3} \ hours \)
D) \( \Large 5 \frac{1}{3} \ hours \)

Correct answer:
B) \( \Large 2 \frac{1}{2} \ hours \)

Description for Correct answer:
Let pipe A remained open for x hours.

According to the question.

\( \Large \frac{x}{10} + \frac{6}{8} = 1 \)

=> \( \Large \frac{x}{10} = 1 - \frac{3}{4} = \frac{1}{4} \)

=> \( \Large x = \frac{10}{4} = 2 \frac{1}{2} \ hours \)

Please provide the error details in above question

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