Respuesta :
Answer:
Working together they will complete the work on 7.5 hours.
Step-by-step explanation:
It is given computer technician can set up a network in 12 hours.
He will complete [tex]\frac{1}{12}[/tex] part of the work in 1 hour.
The Intern takes 20 hours to set up the same network.
The Intern will complete [tex]\frac{1}{20}[/tex] part of the work in 1 hour.
If they work together part of work completed in 1 hour =
[tex]\frac{1}{12} +\frac{1}{20}[/tex]
The LCM of denominator is 60.Making denominator same and adding the fractions we have:
[tex]\frac{1}{12}+\frac{1}{20} =\frac{5+3}{60} =\frac{8}{60} =\frac{2}{15}[/tex]
Together working they will complete the work in 1 ÷[tex]\frac{2}{15} =\frac{15}{2} =7.5[/tex] hours.
