Have I solved the following correctly?
If 6 workers can perform a job in 12 hours, 3 workers working at the same rate can perform the same work in how many hours?
Solution:
x = k/y
x = 6 workers; k = constant; y = 12 hours
6 workers = k/12 hours
k = 72 worker-hours
a = k/b
a = 3 workers; k = constant from above solution; b = unknown hours
3 workers = 72 worker-hours/b
b * 3 workers = 72 worker-hours
b = 72 worker-hours/3 workers = 24 hours
If 6 workers can perform a job in 12 hours, 3 workers working at the same rate can perform the same work in how many hours?
Solution:
x = k/y
x = 6 workers; k = constant; y = 12 hours
6 workers = k/12 hours
k = 72 worker-hours
a = k/b
a = 3 workers; k = constant from above solution; b = unknown hours
3 workers = 72 worker-hours/b
b * 3 workers = 72 worker-hours
b = 72 worker-hours/3 workers = 24 hours