Answer:
12 cleaners
Step-by-step explanation:
8 cleaner can clean in 3 hours = 1 office
1 cleaner can clean in 3 hours = [tex]\frac{1}{8}[/tex] part of job
1 cleaner can clean in 1 hours = [tex]\frac{1}{3 \times 8}[/tex] part of job
Let the number of cleaner required to finish the job in 2 hours = x
hence
x cleaner can clean in 1 hours = [tex]\frac{1 \times x }{24}[/tex] part of job
x cleaner can clean in 2 hours = [tex]\frac{2 \times x }{24}[/tex] part of job
Hence
[tex]\frac{2 \times x }{24}=1[/tex]
[tex]\frac{2x}{24}=1[/tex]
[tex]2x=24[/tex]
[tex]x=12[/tex]
Hence we need 12 men to complete the same job in 2 hours
