Question

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

Answer 1

Answer:

3 minutes=120

1 bag= 3/120

1800bag =3/120×1800

solve and get answer

Answer 2

Answer:

Let the number of bags of half-liter milk be = ‘b’

The time required to fill the bags =‘t’

Since, the number of bags and time required to fill the bags varies directly.

b ∝ t

∴ b = kt …(i) where k is the constant of variation.

Since, 120 bags can be filled in 3 minutes

When b = 120, t = 3

Substitute the value of b = 120 and t = 3 in (i), we get

b = kt

120 = k × 3

k = 1203

k = 40

Now, substitute the value of k = 40 back in (i), we get

b = kt

∴ b = 40 t … (ii)

This is the equation of variation.

Now, let us find the time required to fill 1800 bags

When b = 1800, t =?

Substitute the value of b = 1800 in (ii), we get

b = 40 t

1800 = 40 t

t = 180040

t = 45

∴ 1800 bags of half liter milk can be filled by the machine in 45 minutes.