Two carpenters are going to work together building a shed. The first carpenter estimates that it will take him 3 hours to build a shed, the other carpenter estimates it will take him 7 hours to build a shed. Working together, how long should it take them to build one shed?

If Both carpenters working together hours or 2.1 hours will take to build one shed.

Step-by-step explanation:

The given is,

          First carpenter estimates that it will take him 3 hours to build a shed

          Other carpenter estimates it will take him 7 hours to build a shed

Step:1

    Formula to find 1 hour work of carpenters (Ref. Dr. R.S. Aggarwal book)

                                         One hour's work =

    Where, n - Number of working hours

     From the given,

     First carpenters one hour work =

     Other carpenters one hour work =

     If both are working together,

     One hour work of both carpenters =

                                                                 =

      One hour work of both carpenters  

      First carpenter and second carpenter will complete to build the shed in                                        

                                                     = hours = hours

Result:

             If Both carpenters working together hours or 2.1 hours will take to build one shed.

step-by-step explanation: yes