Question

Are the following statements true? $32\mathrm{m}:64\mathrm{m}=6\sec :12\sec$

• A. True
• B. False

Answer 1

The correct option is A True

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}32\mathrm{m}\mathrm{to}64\mathrm{m}& =& \frac{32}{64}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}32\\ & =& \frac{1}{2}\\ & =& 1:2\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}6\sec \mathrm{to}12\sec & =& \frac{6}{12}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}6\\ & =& \frac{1}{2}\\ & =& 1:2\end{array}$

Since, $32\mathrm{m}:64\mathrm{m}=6\sec :12\sec$

Hence, $32\mathrm{m}:64\mathrm{m}=6\sec :12\sec$ are in proportion. Given statement is true.