Question

Are the following statements true? $45\mathrm{km}:60\mathrm{km}=12\mathrm{hours}:15\mathrm{hours}$

• A. True
• B. False

Answer 1

The correct option is B False

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}45\mathrm{km}\mathrm{to}60\mathrm{km}& =& \frac{45}{60}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}15\\ & =& \frac{3}{4}\\ & =& 3:4\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}12\mathrm{hours}\mathrm{to}15\mathrm{hours}& =& \frac{12}{15}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}3\\ & =& \frac{4}{5}\\ & =& 4:5\end{array}$

Since, $45\mathrm{km}:60\mathrm{km}\ne 12\mathrm{hours}:15\mathrm{hours}$

Hence, $45\mathrm{km}:60\mathrm{km}\ne 12\mathrm{hours}:15\mathrm{hours}$ are in proportion. Given statement is false.