Question

A company found that an experienced surveyor can survey a roadbed in 33 hours. an apprentice surveyor needs 88 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

1/33 + 1/88 = 1/X 264(1/33 + 1/88) = 264(1/X) 8 + 3 = 264x 264/11 = 24 X = 24 hours You add the 2 amounts from both workers. Then you multiply both sides of the equation by 264 to get a common denominator. Then solve for x for the answer of 24 hours.