Question

$\text{A long rope is cut into two pieces. One is of length}$
$\text{12 ft, and the other is cut}3\frac{1}{2}\text{times more than the}$ $\text{length of the first one. What is the length of the}$ $\text{other rope?}$

• A. 42 ft
• B. 36 ft
• C. 48 ft
• D. 38 ft

Answer 1

The correct option is A 42 ft

Given,

$\text{Length of the smaller rope = 12 ft}$

$\text{The other rope is}3\frac{1}{2}\text{times the smaller rope}$.

$\text{Length of the longer rope}$
$=3\frac{1}{2}\times \text{Length of the smaller rope}$

$=\frac{7}{2}\times 12$

= 42

$\text{Hence, the length of the longer rope is 42 ft.}$