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Ram alone can complete a work in 20 days and Shyam alone can the same work in 15 days. Ram started the work and after working 3 days, Shyam joined Ram to finish the remaining work. In how many days, the remaining work will be finished?
  • a)
    51/7 days
  • b)
    53/9 days
  • c)
    63/8 days
  • d)
    51/9 days
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Ram alone can complete a work in 20 days and Shyam alone can the same ...
Given:
Ram alone can complete a work in 20 days.
Shyam alone can complete a work in 15 days.
Total work = Efficiency × Time
Total work = 60 units (LCM of 20 and 15)
Efficiency of Ram = 3 units/day
Efficiency of Shyam = 4 units/day
Work done by Ram in 3 days = 3 × 3
= 9 units
Remaining work = 60 – 9
= 51 units
∴ Time taken by Ram and Shyam remaining work = 51/(3+4) =  51/7 days
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Ram alone can complete a work in 20 days and Shyam alone can the same work in 15 days. Ram started the work and after working 3 days, Shyam joined Ram to finish the remaining work. In how many days, the remaining work will be finished?a)51/7daysb)53/9daysc)63/8daysd)51/9daysCorrect answer is option 'A'. Can you explain this answer?
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