The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support?

W = kL    where W = weight supported,  L = length of the beam and k is constant of variation.

Substituting the given values:-

310 = 2k
k = 155

so equation of variation is W = 155L

For length 10  m  the weight it can support is

W = 155*10  = 1550 kg answer