Gauthan and Karthik can do a piece of work in 10 days and 20 days respectively. With the help of Nilesh, they can complete the whole work in 5 days. In how many days can Nilesh alone complete the work ?
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A and B can complete a job in 30 and 20 days respectively. They start working together and B leaves 5 days before the work is finished. In how many days is the total work finished?
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50 Answers
Asked in 1 Space

Sushil Ganeshpure, studies at Indian Institute of Technology, Bombay (2022)
Answered May 31, 2018
Answer to this problem is 15 days.
There are three methods to solve this problem.
Method-1 Fraction Method
A completes the work in 30 days -> In 1 day he completes 1/30 part of job.
B completes the work in 20 days -> In 1 day he completes 1/20 part of job.
Work done by A & B both in 1 day= 1/30 + 1/20
=(20+30)/(20x30) = 5/60 = 1/12
Let both A & B workd for 'x' days.
Work done by them in x day = x/12
Remaining work = 1-x/12 ………(1)
This remaining work is done by A alone in 5 days.
Hence,
Work done by A in 5 days = Remaining work
5/30 = 1-x/12 …. From (1)
x/12 = 1–1/6
x = (5x12)/6
x=10
Total number of days to complete work = 10+5 = 15 days
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