Question

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.

Answer 1

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 =$\frac{1}{7}$

the rate of the apprentice surveyor = $\frac{1}{9}$

if the two work together , $\frac{1}{T} =\frac{1}{7} +\frac{1}{9}$

T = $\frac{56}{16}$

T = 3.5 hours