Question
Arjun & Chinky together start work and do it for 10 days
and rest work is completed by Danny & ‘X’ together in 4 days. Then, in how many days ‘X’ alone can compete the work? The ratio of number of days taken by Arjun and Bheem to complete a work individually is 7:8 and the ratio of number of days taken by Bheem and Chinky to complete a work individually is 6:7 and the ratio of number of days taken by Chinky, Danny, Elli and Finn to complete a work individually is 28 : 30 : 35 : 40. Arjun takes 21 days to complete a work individually.Solution
ATQ, we can say that Efficiency of X = ‘e’ unit/day 10 × (40 + 30) + 4 × (28 + ‘e’) = 840 10 × 70 + 4(28 + ‘e’) = 840 4(28 + ‘e’) = 840 – 700 4(28 + ‘e’) = 140 28 + ‘e’ = 140/4 28 + ‘e’ = 35 ‘e’ = 35 – 28 ‘e’ = 7 unit/days X alone complete the work in = 840/7 = 120 Days
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