If A is ‘x’ times as good a workman as B, then he will take \frac{1}{x} th of the time by B to do the same work.
Example: If A can complete a work in 10 days and B is 100 faster than A. How much time B will take to complete the work?
Solution: A takes to perform 1 work = 10 days.
= B will perform the same work = \frac{1}{2} time than A.
= B will take to perform the same work = 10 days * \frac{1}{2} = 5 days
Dear Mahak
The example should be “If A can complete a work in 10 days and B is 100% faster than A. How much time B will take to complete the work?”
Now if B is 100% faster, his speed will be double that of A and hence he will complete the work in half the time that A takes. Thus B will take 5 hours to complete the work
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