SOLUTION: Smith engineering is in the process of reviewing the salaries of their surveyors. During the review, the company found that an experienced surveyor can survey a roadbed in 6 hours

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Question 779089: Smith engineering is in the process of reviewing the salaries of their surveyors. During the review, the company found that an experienced surveyor can survey a roadbed in 6 hours. An apprentice surveyor needs 8 hours. If the two work together, find how long it takes them to complete the job.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
experienced surveyor's rate:
( 1 roadbed surveyed ) / ( 6 hrs )
---------------------------
apprentice surveyor's rate:
( 1 roadbed surveyed ) / ( 8 hrs )
---------------------------
Let = their time in hrs to survey
the roadbed working together
Add the rates to get their rate working together

Multiply both sides by




It takes them 3 hrs and 26 min
check:



close enough

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