Question 15 Marks
The length of two ropes are in the ratio 7 : 5. Find the length of:
(i) shorter rope, if the longer one is 22.5 m
(ii) longer rope, if the shorter is 9.8 m.
(i) shorter rope, if the longer one is 22.5 m
(ii) longer rope, if the shorter is 9.8 m.
Answer
View full question & answer→Length of the ropes are in the ratio $=7: 5$
(i) Let the length of shorter rope $=x$
Length of longer rope $=22.5 m$
A.T.Q.
$7: 5=22.5: x$
$\Rightarrow 7 x =22.5 \times 5$
$\Rightarrow x=\frac{22.5 \times 5}{7}$
$\Rightarrow x=16.07 m$
(ii) Let length of the longer side $=x$
Length of shoter rope $=9.8 m$
A.T.Q.
$7: 5=x: 9.8$
$
\Rightarrow 5 \times x=9.8 \times 7
$
$
\Rightarrow x=\frac{9.8 \times 7}{5}
$
$
\Rightarrow x=13.72 m
$
(i) Let the length of shorter rope $=x$
Length of longer rope $=22.5 m$
A.T.Q.
$7: 5=22.5: x$
$\Rightarrow 7 x =22.5 \times 5$
$\Rightarrow x=\frac{22.5 \times 5}{7}$
$\Rightarrow x=16.07 m$
(ii) Let length of the longer side $=x$
Length of shoter rope $=9.8 m$
A.T.Q.
$7: 5=x: 9.8$
$
\Rightarrow 5 \times x=9.8 \times 7
$
$
\Rightarrow x=\frac{9.8 \times 7}{5}
$
$
\Rightarrow x=13.72 m
$