Smith Engineering is in the process of reviewing the salaries of their surveyors. During this​ review, the company found that an experienced surveyor can survey a roadbed in 7 hours. An apprentice surveyor needs 9 hours to survey the same stretch of road. If the two work​ together, find how long it takes them to complete the job.

Respuesta :

Answer:

T = 3.5 hours

Step-by-step explanation:

this is a rate problem.

an experienced surveyor takes 7 hours to survey a roadbed

an apprentice surveyor takes 9 hours to survey a roadbed

the rate of the experienced surveyor =[tex]\frac{1}{7}[/tex]

the rate of the apprentice surveyor = [tex]\frac{1}{9}[/tex]

if the two work together , [tex]\frac{1}{T} =\frac{1}{7} +\frac{1}{9}[/tex]

T = [tex]\frac{56}{16}[/tex]

T = 3.5 hours

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