Rohit, Mohit and Sumit individualy can complete a work in 8 days, 14 days and 21 days respectively. In how many days these three together can complete the same work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 168/41 days.
| Understanding/Application |
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Let total work to be done be L.C.M.(8,14,21) = 168 units Rohit complete work in 8 days. Rohit's efficiency = 168/8 = 21 units/day Mohit's efficiency = 168/14 = 12 units/day Sumit's efficiency = 168/21 = 8 units/day |
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Total work done by them in 1 day together = (21 + 12 + 8) = 41 units/day Time taken by them to complete 168 units of work = 168/41 days |