Ram can do a piece of work in 20 days and shaym can do it 12 days. Ram start the work but after a certain time shaym time shaym take his place and the whole work is complete in 14 days for the beginning .how long did work did Ram work!
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Ram can do a piece of work in 20 days and shaym can do it 12 days. Ram start the work but after a certain time shaym time shaym take his place and the whole work is complete in 14 days for the beginning .how long did work did Ram work!
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Solution:
Given:
Ram alone takes 20 days
and Shyam alone takes 18 days
Formula used:
Efficiency = Work/(Time Taken)
Calculation:
Total work = LCM of 18 and 20 = 180 units
Efficiency of Ram = 180/20 = 9 units/day
and efficiency of Shyam = 180/18 = 10 units/day
In 2 days, Ram and Shyam complete = (9 + 10) units
⇒ 19 units
In 18 days, Ram and Shyam complete = 19 × 9 = 171 units
On 19th day, Ram complete = 9 units
∴ In 19 days, The work will be completed.
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