A can do a piece of work in 4 days and B can complete the same work in 12 days What is the number of...........

Quant (SSC) Time and work

A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together?

2 days

3 days

4 days

5 days

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Explanation:

To solve this question, we can apply a short trick approach :
Reqd, no. of days = (xy /x + y)days
x = the time taken by A to do the work = 4 days
y = the time taken by B to do the work = 12 days
By the short trick approach, we get
Reqd. no. of days = (4 x 12) /(4 +12) = 48/16 = 3 days