Joe can clear a lot in 2.5 hours. His partner can do the same job in 7.5 hours. How long will it take them working together?

Respuesta :

Answer:

The time required by both persons to complete the work T = 1.458 hours

Step-by-step explanation:

Given data

Time required by Joe to clear a lot [tex]T_1[/tex] = 2.5 hours

Time required by his partner to clear a lot [tex]T_2[/tex] = 2.5 hours

Time required by both persons to complete the work by working together

[tex]T = \frac{T_1 T_2}{T_1 + T_2}[/tex]

[tex]T = \frac{(2.5)(3.5)}{2.5 + 3.5}[/tex]

T = 1.458 hours

Therefore the time required by both persons to complete the work T = 1.458 hours