Question

194
Universal Mathematics
2. Determine if the following ratios form a proportion:
(D) 250ml:2l :: 48 minutes :2hours

Answer 1

Given: 250ml : 2l :: 48 minutes : 2 hours

To find: The given ratios are in a proportion or not.

Solution:

The ratios are in proportion if the value of the ratios is equal to the other one.

For 250 ml:2l,

We know that, $1l=1000ml$.

So, $2l=2000ml$.

$250ml:2000ml=\frac{250}{2000} \\=\frac{1}{8}\\=1:8$

For 48 minutes:2hours,

We know that, $1hour=60minutes$.

So, $2hours=120minutes$.

$48minutes:2hours=\frac{48}{120}\\=\frac{2}{5} \\=2:5$.

Both the ratios are not the same, hence they are not in proportion.