Question

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 410 kg. How many kilograms can a 1-m beam support?

a.
820 kg
b.
0.0024 kg
c.
0.0098 kg
d.
102.5 kg

Answer 1

A. 820 kg is correct.

Explanation:

The reason that this is correct is because, well, I did the math, and also, if you think about this, the longer the beam, the less weight it can hold, therefore, a 10 meter beam can't hold as much weight as a 2 meter beam

Answer 2

There are several information's already given in the question. Based on those given information's, the answer can be easily deduced.

Since weight is inversely proportional to length, so
Weight = k/Length
k = weight * length
= 410 * 2
= 820
Then
Weight that a 1 m beam can support = 820/1
= 820 kg
I hope that the procedure is clear enough for you to understand.