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C is 5 times as productive as B. A takes 60 days to complete a task. If A, B and C work together they can complete the task in 12 days. In how many days can B complete the task if he worked alone?1). 182). 273). 904). 72 |
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Answer» Let the total work = 60 (LCM of 60 & 12) ⇒ Efficiency of A = 60/60 = 1 ⇒ Efficiency of (A + B + C) = 60/12 = 5 Since C is 5 times as productive as B, efficiency of C will be 5 times of the efficiency of B. Let efficiency of B be n then efficiency of C will be 5N, ⇒ 1 + n + 5n = 5 ⇒ 6n = 4 ⇒ n = 2/3 ⇒ Efficiency of B = 2/3 Time taken by B alone to COMPLETE the task = 60/(2/3) = 90 days |
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