Question

two pipes running together can fill a cistern in 6 minutes. if one pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.

Answer 1

To find the time taken by each pipe to fill the cistern, we can set up an equation using their individual rates of filling the cistern. By solving the equation, we can determine the time for each pipe.

Step-by-step explanation:

Let the time taken by the first pipe be x minutes.

Therefore, the time taken by the second pipe is x + 5 minutes.

According to the given information, both pipes running together can fill the cistern in 6 minutes.

So, their combined rate of filling the cistern is 1/6 of the cistern per minute.

The rate of filling the cistern by the first pipe is 1/x of the cistern per minute.

The rate of filling the cistern by the second pipe is 1/(x + 5) of the cistern per minute.

Using the concept of rates, we can set up the equation:

• (1/x) + (1/(x + 5)) = 1/6

Now, we can solve the equation to find the values of x and x+5, which represent the time taken by each pipe to fill the cistern.