The efficiencies of A, B, and C are in the ratio 2 : 5 : 3. Working together, they can complete a task in 12 days. In how many days can A alone complete 30% of that task?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18
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Concept |
Understanding |
Application |
Fair calculation |
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Total work = Efficiency × Time
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Ratio of efficiencies of A, B and C = 2 : 5 : 3 Suppose the efficiencies are 2x, 5x and 3x
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Working together, they can complete task in 12 days: Total work = (2x + 5x + 3x) × 12 = 120x 30% of the total work= 120 × 0.3 = 36 36% of the total work completed by A in = 36/2 = 18 |
(2x + 5x + 3x) × 12 = 10x × 12 = 120x |