Question

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.

a)How many hours would this job take if the number of workers decreased by factor of 2?
c)How many hours would this job take if the number of workers increased by factor of 4?

Answer 1

(a). 11

(b). 16

Explanation:

(a). 6=22

3=x solve for x doing 22(3)/6

(b). 6=22

24=x solve for x doing 22(24)/6

Answer 2

Answer:a) 44hrs

b)5.5hrs

Step-by-step explanation

6 workers take 22hrs

a) if the workers decreased by factor of 2, number of workers =3. The time increases by factor of 2

Therefore, 3 workers take

22*2 = 44hrs

b) if the workers increased by factor of 4,

Number of workers = 6*4= 24

The time decreases by factor of 4

Therefore, 24 workers take

22/4= 5.5 hrs