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Ram can complete a work in 16 days, Shyam in 24 days and Rohan in 32 days. They started working together but after 4 days Ram and Rohan quit the work and remaining work was completed by Shyam alone, find out for how many days did Shyam work alone. 1. 5 2. 83. 114. 15 |
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Answer» Correct Answer - Option 3 : 11 Given : Ram can do the work in 16 days Shyam can do the work in 24 days Rohan can do the work in 32 days Concept used : Total days to complete the work = Total work/Work done per day Calculations : Total work = LCM of 16, 24 and 32 ⇒ 96 units Ram's per day work = 96/16 = 6 units Shyam's per day work = 96/24 = 4 units Rohan's per day work = 96/32 = 3 units Ram, Shyam and Rohan per day work = 6 + 4 + 3 = 13 units Their total work in 4 days = 4 × 13 = 52 units Remaining work = 96 - 52 = 44 units Days taken by Shyam to complete the remaining work = 44/4 ⇒ 11 ∴ Shyam work alone for 11 days to complete the remaining work |
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