It would have taken 4 hours if there had been 12 volunteers, each working at the same rate
Step-by-step explanation:
Inverse proportion:
- If n workers do a job in h hours, that means n × h = the job
- If m workers do the same job in t hours, that means m × t = the job
- Then n × h = m × t, if n > m then h < t and vice versa, if n < m then h > t, this relation is called inverse proportion
A local charity is wrapping holiday gifts for local needy families. When 8 volunteers work together, they can get all the gifts wrapped and distributed in 6 hours.
We need to find how many hours would it have taken if there had been 12 volunteers, each working at the same rate
Let us used the rule above
∵ 8 volunteers can get all the gifts wrapped and distributed in 6 hours
∵ 12 volunteers can do that with the same rate
- The number of volunteers increased, then the number of hours
must be decreased
∴ 8 × 6 = 12 × t, where t is the number of hours
∴ 48 = 12 t
- Divide both sides by 12
∴ 4 = t
∴ The 12 volunteers can get all the gifts wrapped and distributed
in 12 hours
It would have taken 4 hours if there had been 12 volunteers, each working at the same rate
Learn more:
You can learn more about inverse variation in brainly.com/question/10708697
#LearnwithBrainly