How long will it take Marvin and Kalngan together to paint a fence, which Marvin can paint alone in 4 days and Kalngan alone in 2 days?
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Let the to paint the fence be W , the rates of painting of Marvin and Kalngan be m and k per day respectively. Then m = 4 W and k = 2 W . It the number of days for two of them to paint the fence be t . Then we have:
( m + k ) t ⟹ t = W = m + k W = 4 W + 2 W W = 4 1 + 2 1 1 = 4 3 1 = 3 4 = 1 3 1