The more the students, the lesser the time. Hence time (t) is inversely proportional to the number of students (s). t∝
1
s
Remove the proportionality by introducing a constant (k). t=k×
1
s
Use the known information to solve for k 6 students used 1 hour. 1 hour =60 minutes. 60 minutes =k×
1
6
k=6×60 k=360 The general equation is: t=360×
1
s
t=
360
s
Calculate how long it will take 15 students to sweep. s=15 t=
360
15
Note: 1. The hours was converted to minutes hence time obtained would be in minutes 2. 15 divides itself 1 and 360,24 times t=24 minutes It will take 15 students 24 minutes to sweep the compound.