Question

There are 8 pipes which take 26 hours to fill a big drum. But when the operations were supposed to begin, two pipes were damaged. It so happened that only one could be retreived back to usable state. What will be the time taken to fill the drum with the existing pipes?

• A. 29.7 hours
• B. 30.7 hours
• C. 28.7 hours
• D. 27.7 hours

Answer 1

The correct option is A

29.7 hours

According to the given information in the question, we infer that there are 7 pipes that can be used to fill the drum.
If the time taken by 7 pipes to fill the drum is taken as t, the equation would be 7 × t = 8 × 26 (since time is inversely proportional to the number of pipes).

$\therefore$ t = 29.7 hrs