Question

one filling pipe a is 5 times faster than second filling pipe b. if b can fill a cistern in 36 minutes, then find the time when the cistern will be full if both fill pipes are opened together.

Answer 1

Pipe A is 5 times faster than pipe B. When both pipes are opened together, it will take 6 minutes for the cistern to be full.

Step-by-step explanation:

To solve this problem, we can set up a ratio based on the given information. Let's use the variable 'x' to represent the time it takes for both pipes to fill the cistern when opened together.

We know that pipe B can fill the cistern in 36 minutes, so its rate is 1 cistern / 36 minutes = 1/36 cistern per minute.

Since pipe A is 5 times faster than pipe B, its rate is 5 * (1/36) = 5/36 cistern per minute.

When both pipes are opened together, their rates are additive. So, we can set up the equation:

(1/36) + (5/36) = 1/x

Simplifying this equation, we get:

6/36 = 1/x

Cross multiplying, we have:

6x = 36

Dividing both sides by 6, we find:

x = 6

Therefore, it will take 6 minutes for the cistern to be full when both fill pipes are opened together.