#### Question

120 bags of half litre milk can be filled by a machine within 3 minutes find the time to fill such 1800 bags ?

#### Solution

The time required to fill the bags of milk varies directly as the time required to fill the bags.

Let the number of minutes be x and the number of bags be y.

Here, x varies directly as y i.e. \[x \propto y\] .

∴ x = ky, where is k is constant of variation

When x = 3, y = 120.

∴ 3 = k × 120

⇒ k = \[\frac{3}{120} = \frac{1}{40}\]

So, the equation of variation is \[x = \frac{1}{40}y\] .

When y = 1800,

\[x = \frac{1}{40} \times 1800 = 45\]

Thus, the time required to fill 1800 bags with milk is 45 minutes.

Is there an error in this question or solution?

Solution 120 Bags of Half Litre Milk Can Be Filled by a Machine Within 3 Minutes Find the Time to Fill Such 1800 Bags ? Concept: Time, Work, Speed.