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A company found that an experienced surveyor can survey a roadbed in 7 hours. An apprentice surveyor needs 8 hours
to survey the same stretch of road. If the two work together, find how long it takes them to complete the job.
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Answer :

ADIOABIOLAGO

The number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

Rate of work

  • Hours it takes the experienced surveyor = 7 hours
  • Surveyors rate of work = 1/7

  • Hours it takes the apprentice = 8 hours
  • Apprentice rate of work = 1/8

If the two work together;

Time taken for both to complete the task = Surveyors rate of work + Apprentice rate of work

= 1/8 + 1/7

= (7+8) / 56

= 15/56 hours

Therefore, the number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

Learn more about rate of work:

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