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.
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.
