Question
Amit and Chetan can complete a
task individually in 30 days and 45 days, respectively. Amit begins the work alone, and after 'd' days, Chetan joins him. Together, they finish the entire work in '2d' days. Find the value of 'd'.Solution
ATQ,
Total work = 90 units. {LCM of 30 and 45} Efficiency of 'Amit' = 90 ÷ 30 = 3 units/day Efficiency of 'Chetan' = 90 ÷ 45 = 2 units/day Work done in 2d days = 3d + 3d + 2d = 90 8d = 90 d = 11.25
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