A can finish one-third of work in 5 days. B can finish 2/5 of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days. The remaining work will be finished by B alone in:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1.5 days
| Application |
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Time taken by A to finish complete work = 3 × 5 = 15 days Time taken by B to finish complete work = (5/2) × 10 = 25 days Time taken by C to finish complete work = (4/3) × 15 = 20 days Work completed by A + B + C in 6 days = {(1/15) + (1/25) + (1/20)} × 6 = (47/50) So, Remaining work = 1 - (47/50) = 3/50 Hence, Remaining work will finish by B in = (3/50) × 25 = 1.5 days |