Question
A and B can do a work in 24 days and 32 days,
respectively. If A works on it for βxβ days and B works on it for βx β 1β days, then one-third of the work gets completed. Find the value of βxβ.Solution
Let the total work = 96 units {LCM of 24 and 32} Efficiency of A = 96/24 = 4 units/day Efficiency of B = 96/32 = 3 units/day According to the question; 4 Γ (x) + 3 Γ (x β 1) = (1/3) Γ 96 Or, 4x + 3x β 3 = 32 Or, 7x = 35 Or, x = 35/7 = 5
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