Question

a rope is cut into 3 pieces p,q and r. the lengths of the pieces are in the ratio 3:5:7. if the rope is 33 feet 9 inches long, find the lengths of p,q,and r

Answer 1

If the pieces are cut in the ratio 3:5:7, the proportion of each piece to the whole (represented by 3+5+7=15) is:

3/15:5/15:7/15

First, convert the inches to feet also:

1 foot equals to 12 inches.

So 9 inches =9/12×1=0.75 feet.

Thus, 33 feet and 9 inches equal 33+0.75=33.75 feet.

So,

P=3/15×33.75=6.75 feet.

Q=5/15×33.75=11.25 feet.

R=7/15×33.75=15.75 feet.

You can check that these answers are correct by adding up the different pieces: 6.75+11.25+15.75=33.75