Respuesta :
Answer:
3.5 hours
Step-by-step explanation:
let t represent time and n the number of volunteers.
Given that t varies inversely as n then the equation relating them is
t = [tex]\frac{k}{n}[/tex] ← k is the constant of variation
To find k use the condition t = 5 when n = 7, then
k = tn = 5 × 7 = 35, thus
t = [tex]\frac{35}{n}[/tex] ← equation of variation
When n = 10, then
t = [tex]\frac{35}{10}[/tex] = 3.5 hours
Work and time are inversely proportional to each other. Then the time taken by 10 volunteers to complete the job will be 3.5 hours.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
The time required to do a job varies inversely to the number of people working on it.
It takes five hours for seven volunteers to pick up the rubbish from 1 mile away.
Work and time are inversely proportional to each other. Then we have
Let A be the time taken.
5 x 7 = A x 10
A = 3.5 hours
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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