One hose can fill a pond in 28 minutes, 2 hoses fill the same pond in 20 minutes. how long does the second hose alone to fill the pond?

70 minutes

Step-by-step explanation:

Given: One hose can fill a pond in 28 minutes.

            2nd hose can fill the same pond in 20 minutes.

One hose can fill of pond per minutes

Both one hose and 2nd hose can fill of pond per minutes.

Lets assume time taken by 2nd hose alone to fill pond be "x".

∴ 2nd hose alone can fill of pond per minute.

Now, forming an equation to show pond filled per minuted by both hoses.

taking LCD as 28x

⇒

multiplying both side by 20

⇒

Using distributive property of multiplication

⇒

multiplying 28x on both side.

⇒

subtracting 20x on both side

⇒

dividing both side by 8

⇒

∴ x= 70 minutes

Hence, second hose can alone fill the pond in 70 minutes.

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