A can complete a certain work in 30 days. B is 25% more efficient than A and C is 20% more efficient than B. They all worked together for 3 days. B alone will complete the remaining work in:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 15 days.
| Understanding/Application |
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Let the efficiency of A be x. The efficiency of B = 25% more than A = 1.25x The efficiency of C = 20% more than B = 1.5x Efficiency ratio of A, B, and C = x: 1.25x: 1.5x = 4: 5: 6 |
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Total work = efficiency × time = 4 × 30 = 120 units 3 days work = (4 + 5 + 6) × 3 = 45 units Remaining work = 120 - 45 = 75 units Time taken to complete work by B = 75/5 = 15 days |