Ram and Arjun can do a piece of work in 12 days Arjun alone can finish it in 30 days in how many days can Ram alone finish the work
Answers
Answer:
R+A=12days
(RAM+ARJUN) ka ak din ka kaam= 1/12
Arjun ka ak din ka kaam=1/30
Ram=1/12-1/30
=3/60
=1/20
=20days
Ram alone can finish the work in 20 days.
We can use the formula "work done = rate x time" to solve this problem.
Let's assume that Ram's and Arjun's rates of working are R and A respectively.
According to the given information:
Ram and Arjun together can finish the work in 12 days, so their combined rate of working is 1/12 of the work done per day.
(R+A) = 1/12
Arjun alone can finish the work in 30 days, so his rate of working is 1/30 of the work done per day.
A = 1/30
By substituting the value of A in the equation of combined rate, we can find the value of R
R = 1/12 - 1/30 = 3/60
So, Ram's rate of working is 3/60 of the work done per day.
To find the time taken by Ram alone to finish the work, we can use the formula "work done = rate x time"
Time taken by Ram alone to finish the work = Work/ Rate
time = 1 / (3/60) = 60/3 = 20 days
Therefore, Ram alone can finish the work in 20 days.
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