A is thrice as good a work man as B and takes 60 days less than B for doing a job The time in which ...........

Quant (SSC) Time and work

A is thrice as good a work man as B and takes 60 days less than B for doing a job. The time in which they can do it together is:

15 days

60 days

22 1/2 days

28 days

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Explanation:

To solve this question, we can apply a short trick approach;
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:
A takes 60 days less then B = D = 60 days
A is 3 times as fast as B = n = 3
By the short trick approach:
Reqd Ans. = 60 x 3/3² – 1 = 60 x 3/8 = 45/2
22 1/2 days