Question

Two pipes A and B can fill a tank in 10 h and 15 h Respectively. Find the time taken to fill the tank when both the pipes are turned on simultaneously :

• A. 5 h
• B. 6 h
• C. 8 h
• D. 12 h

Answer 1

The Correct Option is B

To find the time taken to fill the tank when both pipes A and B are turned on simultaneously, we can use the concept of the rate of work.

Pipe A fills the tank in 10 h, so its rate is 1/10 of the tank per hour.

Pipe B fills the tank in 15 h, so its rate is 1/15 of the tank per hour.

When both pipes are working together, their rates add up:

\(\frac{1}{10} + \frac{1}{15}\)

To add these fractions, find a common denominator, which is 30:

\(\frac{3}{30} + \frac{2}{30} = \frac{5}{30} = \frac{1}{6}\)

Thus, together, both pipes fill \(\frac{1}{6}\) of the tank in one hour.

This implies the tank will be filled in 6 hours when both pipes are used together.

The correct answer is 6 h.