Problema Solution
Smith engineering is in the process of reviewing the process of their surveyors. During this review the company found that an experienced surveyor can survey the roadbed in 4 hours. An apprentice surveyor needs 9 hours to survey the same stretch of road. If the two work together, find out how long it takes them to complete the job.
Answer provided by our tutors
an experienced surveyor can survey the roadbed in 4 hours thus his rate is 1/4 roadbeds per hour
an apprentice surveyor needs 9 hours to survey the same stretch of road thus his rate is 1/9 roadbeds per hour
let x = the hours the need to complete the job together
the together rate is 1/x roadbeds per hour
if they work together we have:
1/4 + 1/9 = 1/x
by solving we find:
x = 36/13 hr
x = 2 10/13 hr
x = 2 hr (10*60)/13 min
x = 2 hr 46 min
click here to see the step by step solution of the equation:
it takes them 2 hour and 46 minutes to complete the job together.