Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it take the two when they work together?

Respuesta :

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work [tex]T_{1}[/tex]= 85 min

Time taken by the Tim to finish the work [tex]T_{2}[/tex]  = 65 min

Thus the time taken by both to finish the work = [tex]\frac{T_1 \times\ T_2}{T_1 + T_2}[/tex]

Put the values of [tex]T_{1}[/tex] and [tex]T_{2}[/tex]  we get ,

                    [tex]T_{}[/tex] = [tex]\frac{85 \times\ 65}{85 + 65}[/tex]

                    [tex]T_{}[/tex] = [tex]\frac{221}{6}[/tex]

                    [tex]T_{}[/tex] = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute