The time required to do a job varies inversely as the number of people working on it, it takes five hours for seven volunteers to pick up the rubbish from 1 mile away. How long will it take 10 volunteers to complete the job

Answer:3.5 hoursStep-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 ist = [tex]\frac{k}{n}[/tex] ← k is the constant of variationTo find k use the condition t = 5 when n = 7, thenk = tn = 5 × 7 = 35, thust = [tex]\frac{35}{n}[/tex] ← equation of variationWhen n = 10, thent = [tex]\frac{35}{10}[/tex] = 3.5 hours