math

The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that a 4-m beam can support 1000 kg. How many kilograms can a 17-m beam​ support?

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  1. W = k(1/L)
    given: if L = 4m, W = 1000 kg
    1000 = k(1/4)
    k = 4000

    so : W = 4000/L
    if L = 17
    W = 4000/17 = appr 235.29 kg

    or

    by ratio:
    W1/W2 = L2/L1
    1000/W2 = 17/4
    17W2 = 4000
    W2 = 4000/17 = 235.29 , as before

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