Question
A and B can complete a work together in 30 days. If A
alone can complete one-third of the work in ‘x’ days and remaining work is completed by B alone in 2x days, then find the value of x.Solution
Time taken by A to complete the work = (x × 3) = 3x days Time taken by B to complete the work = (2x × 3/2) = 3x days According to question, => (1/3x) + (1/3x) = 1/30 => (1 + 1)/3x = 1/30 => 3x = 60 => x = 20
If the third proportion of 30 and 45 is “0.5k”, then find the value of (k − 18) : (k + 22).
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