All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?

Respuesta :

znk

Answer:

5.5 h  

Step-by-step explanation:

There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).

t = k/n             Divide both sides by n

t/n = k

If we have two different numbers of workers, then

t₁/n₁ = t₂/n₂     Multiply each side by n₂

t₂ = t₁ × n₁/n₂

t₂ = 22 × 1/4

t₂ = 5.5 h