Vivek, Dev and Lalit alone can complete a work in 10 days, 15 days and 20 days respectively. In how many days Vivek and Dev together can complete half of the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3 days.
| Understanding/Application |
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Total work done by them = L.C.M of (10, 15, 20) = 60 units Vivek completes work in = 10 days Vivek's efficiency = 60/10 = 6 units/day Dev's efficiency = 60/15 = 4 units/day |
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Vivek and Dev together can complete work in 1 day = (6 + 4) = 10 units/day Time taken by them to complete half the work = 30/10 = 3 days |