Question

A piece of rope is cut into three lengths in the ratio 2 : 3 : 5. If the smallest length is 6cm, find the length of the original rope.

Answer 1

given,

ratio= 2:3:5 , smallest part length=6

let x be the common multiple then,

first number (smallest) =2x

6cm =2x

6/2=x

therefore, x=3

now,

1st part=2x=2*3=6

2nd part=3x=3*3=9

3rd part=5x=5*3=15

again,

total length = sum of all part

=6+9+15

=30

therefore 30cm is the answer