Question

Smith engineering is in the process of reviewing the salaries of their surveyors. During this review the company found that experience survey roadbed in three hours. An apprentice survey needs four 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

Answer:

1 hour and 42.85 minutes.

Step-by-step explanation:

It is found from the process of reviewing that experience survey a roadbed in 3 hours.

Hence, in 1 hour the experience survey $\frac{1}{3}$ of the roadbed.

Again, it is found that the apprentice survey needs 4 hours to survey the same stretch of road.

So, in 1 hour the apprentice survey does $\frac{1}{4}$ of the roadbed survey.

If they work together then in 1 hour, the survey work will be done by ($\frac{1}{3} +\frac{1}{4}$)= $\frac{7}{12}$ parts.

Therefore, the total survey they will complete working together in $\frac{12}{7}$ hours i.e. 1 hour and 42.85 minutes. (Answer)