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A alone can complete work in 30 days, B alone can complete the work in 50 days. A and B together complete the 100% of the work in1. 18.75 days2. 16.75 days3. 12.75 days4. 15.75 days |
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Answer» Correct Answer - Option 1 : 18.75 days Given, A alone can complete a work in 30 days. B alone can complete the work in 50 days. Formula: Total work = Efficiency × Time Calculation: Total work = 150 units [LCM of 30 and 50] Efficiency of A = 5 units/day Efficiency of B = 3 units/day Total efficiency of A and B = 5 + 3 = 8 units/day 100% of the total work = 150 × (100/100) = 150 units ∴ Time taken by A and B to complete 100% of the total work = 150/8 = 18.75 days |
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