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?

Because the supported weight varies inversely with beam length, weight × length is constant. For the 2-m beam, that constant is 310 × 2 = 620. A 10-m beam can therefore support 620 ÷ 10 = 62 kg, so the correct choice is 62 kg.

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