Smith Engineering is in the process of reviewing the saties

Smith Engineering is in the process of reviewing the saties of thir surveyors durin this review the company found that an experienced surr=veryor can survey a roadbed in 4 hours An apperntice surveyor needs 11 hours to survey the same strech of road if the two work together find\\how long it takes them to complate the job

Solution

Given an experinced surveyor takes 4 hrs to complete survey

so he will complete 1/4 of the survey in 1 hr

Given an apprentice surveyor takes 11 hrs to complete survey

so he will complete 1/11 of the survey in 1 hr

if they work together,they will complete (1/4 +1/11 ) of the survey in 1 hr

i.e.,1/4 +1/11 = 15/44 of the suvey in 1 hr

so they will take 44/15 hrs to complete the survey