Question
'P' and 'Q' can finish a piece of
work in 45 days and 90 days, respectively. 'P' starts working alone, and 'Q' joins after 'r' days, ensuring that the entire work is completed in '2r' days. Find the value of 'r'.Solution
ATQ,
Let the total work be 90 units. {LCM of 45 and 90} Efficiency of 'E' = 90 ÷ 45 = 2 units/day Efficiency of 'F' = 90÷ 90 = 1 units/day So, 2r + 2r + 1r = 90 Or, 5r = 90 Therefore, r = 18
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