Ram takes 10 days less than the time taken by Ravi to finish a piece of work. If both Ram and Ravi together can finih the work in 12 days, find the time taken by Ravi to finish the work.
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Let the time taken by B be X days.
Then the time taken by A is X-10 days.
B's 1 day's work = 1/X and A's 1 day work = 1/X-10.
Time taken by A and B together = 12 days.
Then A+B 's 1 day's work = 1/12
Therefore, 1/12 = 1/X + 1/X-10
=> X^2 - 34X + 120 = 0
=> (X-30)(X-4) = 0
That is X is either 30 or 4.
4 is not possible and hence 30 is the answer.
Then the time taken by A is X-10 days.
B's 1 day's work = 1/X and A's 1 day work = 1/X-10.
Time taken by A and B together = 12 days.
Then A+B 's 1 day's work = 1/12
Therefore, 1/12 = 1/X + 1/X-10
=> X^2 - 34X + 120 = 0
=> (X-30)(X-4) = 0
That is X is either 30 or 4.
4 is not possible and hence 30 is the answer.
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