Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 8 days.
| Understanding/Application |
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Let the total work be 36 units. (L.C.M of 9, 12, and 18 is 36) Efficiency of Amit and Sunil = 36/9 = 4units/day Efficiency of Sunil and Dinesh = 36/12 = 3units/day Efficiency of Amit and Dinesh = 36/18 = 2units/day Efficiency of three of them together = (4 + 3 + 2)/2 = 9/2 |
| Time taken by three of them to complete the work = 36/9/2 = 8 days |