Question

8. A cistern can be filled by one pipe in 36 minutes and emptied
by another pipe in 48 minutes. If both the pipes are opened
together, in how much time will the cistern be filled?
And

Answer 1

Given:

✰ A cistern can be filled by one pipe in 36 minutes.

✰ A cistern can be emptied by another pipe in 48 minutes.

To find:

✠ How much time will the cistern be filled?

Solution:

Let's understand the concept here! First we will find work done by one pipe in 1 minute and then work done by other pipe in 1 minute. After that we will add both the work done by one pipe in 1 minute and the work done by other pipe in 1 minute to get their together work in one minute. At last, we will find time taken by cistern to fill if both the pipes are opened.

Steps:

• A cistern can be filled by one pipe in 36 minutes.

⟹ One pipe's 1 minute work = 1/36

• A cistern can be emptied by another pipe in 48 minutes.

⟹ Other pipe's 1 minute work = 1/48

Now, One can fill it and another can emptied it so if they can work together one can fill and another can emptied so,

➤ They work together in 1 minute = 1/36 - 1/48

➤ They work together in 1 minute = (4-3)/144

➤ They work together in 1 minute = 1/144

So,

➤ They can complete work together in = 144

➤ They can complete work together in = 144 min = 2 hours 4 min

∴ Time taken by cistern to fill if both the pipes are opened = 144 mins = 2 hours 4 minutes

Answer 2

Answer:

may it helps you

Step-by-step explanation:

be happy with maths