Question

Find the ratio of the following: $30\mathrm{minutes}\mathrm{to}1.5\mathrm{hours}$

Answer 1

We have,

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}30\mathrm{minutes}\mathrm{to}1.5\mathrm{hours}& =& \frac{30}{1.5\times 60}[\because 1\mathrm{hour}=60\mathrm{minutes}]\\ & =& \frac{30}{90}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}\mathrm{their}\mathrm{HCF}\mathrm{i}.\mathrm{e}.30\\ & =& \frac{1}{3}\\ & =& 1:3\end{array}$

Hence, ratio of $30\mathrm{minutes}\mathrm{to}1.5\mathrm{hours}$ is $1:3$.