Question

A rope stretches directly depending on the load it must carry. A load of 8 pounds stretches the rope 9.6 inches. If a rope stretches 6 inches, then it is holding a load of_____.

Answer 1

A rope stretches 6 inches, then it is holding a load of 5 pounds.

Explanation:

Given : A rope stretches directly depending on the load it must carry. A load of 8 pounds stretches the rope 9.6 inches. If a rope stretches 6 inches.

To find : What is holding a load of ?

Solution :

Applying unitary method,

When the rope is stretched by 9.6 inches, then the amount of load it is holding is 8 pounds.

When the rope is stretched by 1 inch, then the amount of load it is holding is
`(8)/(9.6)`

Now, The rope is stretched by 6 inches, then the amount of load it is holding is given by
`(8)/(9.6)* 6`

i.e.
`(8)/(9.6)* 6=5`

Therefore, A rope stretches 6 inches, then it is holding a load of 5 pounds.