Question

A piece of rope is cut into three lengths in the ratio 6 : 7 : 10 ,if the shortest length is 24 m,

a. find the middle length of the rope.

b. find the longest length of the rope

c. calculate the total length of the rope

Answer 1

Explanation:

Solution

Middle

The ratio of the shortest rope to the middle sized rope is

6/24 = 7/x Cross multiply

6*x = 24*7 Find the right

6x = 168 Divide by 6

6x/6 = 168/6

x = 28

Longest

The longest piece is found by using this ratio

6/24 = 10/x Cross Multiply

6x = 240 Divide by 6

6x/6 = 240/6

x = 40

Total

The Total length of the rope is

24 + 28 + 40

Total 92