Ashokan is thrice as good a workman as Nitin and is therefore able to finish a piece of work in 40 d...........

Quant (SSC) Time and work

Ashokan is thrice as good a workman as Nitin and is therefore able to finish a piece of work in 40 days less than Nitin. Find the time in which they can do it working together.

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Explanation:

If A is 'n' times as fast (or slow) as B, and is therefore able to finish a work in 'D' days less (or more) than B, then the time in which they can do it working together is given by
(Dn /n² - 1) days
Given:
Ashokan's days less then Nitin = D = 40 days
Ashokan is 3 times as fast as Nitin = n = 3.
By the short trick approach:
we have the Required answer
= 40 x 3 /3² – 1 = 40 x 3/8
= 15 days