A can complete a work in 'm' days and B can complete it in 'n' days. How many days will it take to complete the work if both A and B work together ?

A can complete a work in 'm' days and B can complete it in 'n' days. How many days will it take to complete the work if both A and B work together ?
1). (m + n) days
2). $\left( \frac{1}{m}\times \frac{1}{n}\right)$ days
3). $\left(\frac{m+n}{m}\right)$ days
4). $\left(\frac{mn}{m+n}\right)$ days

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