Question

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

Answer 1

Solution:
Step : Calculate the length of shorter rope.
Given, ratio of lengths of two rope = $7:5$
And longer rope = $9.8$m
Let the length of shorter rope is $x$ m.
Then,the ratio of length of longer rope to shorter rope = $x:9.8$
According to the given condition,
$\therefore$ $x:9.8$ = $7:5$
$\Rightarrow x\times 5$ = $7\times 9.8$
$\because$ (Product of extremes = Product of means)
$\Rightarrow x$ = $\frac{68.6}{5}$
$\therefore$ $x$ = $13.72m$
Hence, the length of the shorter rope is $13.72$ m.