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Ram and Shyam can complete a work in 20 and 25 days respectively, after working for 8 days together Shyam gets an injury, so he could work only with 50% of his efficiency. Find the number of days taken by them to complete the whole work if they both worked together till the end of the work.1. 82. 103. 124. 14 |
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Answer» Correct Answer - Option 3 : 12 Given : Ram can do the work in 20 days Shyam can do the work in 25 days Concept used : Total days took to complete the work = Total work/work done each day Calculations : Total work = LCM of 20 and 25 = 100 units Ram’s per day work = 100/20 = 5 units Shyam’s per day work = 100/25 = 4 units Ram’s and Shyam’s each day work = 5 + 4 = 9 units Total work done by them in 8 days = 8 × 9 = 72 units Now Shyam got an injury Remaining work = 100 – 72 = 28 units Shyam’s efficiency after 8 days = 50% of 4 = 2 units Now Ram’s and Shyam’s each day work = 5 + 2 = 7 unit Days required to complete the remaining work = 28/7 ⇒ 4 days Total days = 8 + 4 = 12 days ∴ Total number of days taken by them is 12 |
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