At the car dealership, one person can clear a car in 3 hours. Another person can clean that same car in 4 hours. Which equation can be used to find the total time, t, in hours, it will take the two people to clean one car by working together?

Respuesta :

Answer:

The value of time required to clean the car by both persons working together = 1.714 hours

Step-by-step explanation:

Time taken by first person to clean the car [tex]T_{1}[/tex] = 3 hours

Time taken by second person to clean the car [tex]T_{2}[/tex] = 4 hours

Time taken by both persons to working together  T = [tex]\frac{T_{1} T_{2} }{T_{1} + T_{2}}[/tex]

Put the values of [tex]T_{1}[/tex] & [tex]T_{2}[/tex]  in above formula we get,

⇒ T = [tex]\frac{12}{7}[/tex] hours = 1.714 hours

This is the value of time required to clean the car by both persons working together.