Question

7. A rope 8 m 40 cm is cut into 3 parts in the ratio
3:4:5. Find the length of each part.​

Answer 1

Answer:

Length of rope =10 m 20 cm=10.20m

Let the length of pieces after the rope is divided be 4x,6x and 7x.

Now according to the question,

4x+6x+7x=10.20m

⇒17x=10.20m

⇒x=1710.20=0.60

Therefore,

Length of piece are-

4x=4×0.60=2.40m=2 m 40 cm

6x=6×0.60=3.60m=3 m 60 cm

7x=7×0.60=4.20m=4 m 20 cm

Hence the legnth of each of the three part of the rope are 2 m 40 cm, 3 m 60 cm and 4 m 20 cmrespectively.