Question

The length of two rope are in the ratio $7:5$ . Find the length of :
longer rope , if the shorter is $9.8m$

Answer 1

Given
Ratio of length of two rope $=7:5$
And shorter rope $=9.8m$
Let the length of longer rope be $x$
Hence, the length of longer rope can be calculated as below
$7:5=x:9.8$

$\frac{7}{5}=\frac{x}{9.8}$
$5x=9.8\times 7$
$x=\frac{9.8\times 7}{5}$
$x=\frac{68.6}{5}$
$x=13.72m$
Therefore the length of longer rope is $13.72m$