Respuesta :
If Both carpenters working together [tex]2\frac{1}{10}[/tex] 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 = [tex]\frac{1}{n}[/tex]
Where, n - Number of working hours
From the given,
First carpenters one hour work = [tex]\frac{1}{3}[/tex]
Other carpenters one hour work = [tex]\frac{1}{7}[/tex]
If both are working together,
One hour work of both carpenters = [tex](\frac{1}{3} + \frac{1}{7} )[/tex]
= [tex](\frac{7 + 3}{21} )[/tex]
One hour work of both carpenters [tex]= \frac{10}{21}[/tex]
First carpenter and second carpenter will complete to build the shed in
= [tex]\frac{21}{10}[/tex] hours = [tex]2\frac{1}{10}[/tex] hours
Result:
If Both carpenters working together [tex]2\frac{1}{10}[/tex] hours or 2.1 hours will take to build one shed.
