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Three specialists can complete in 1 hour the job their 5 assistants usually do in 1 hour. Suppose eight specialists can complete a certain job 9 hours. How many assistants can complete the same job in 10 hours?

User Robert Hadsell
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1 Answer

28 votes
28 votes

Answer:

12 assistants

Explanation:

If 5 assistants can do in 1 hour what 3 specialists can do, you want to know the number of assistants needed to do in 10 hours what 8 specialists can do in 9 hours.

Effort

The 1-hour job tells us that how to relate the effort of assistants to that of specialists:

5 assistant·hours = 3 specialist·hours

The longer job takes 8 specialists 9 hours, so is a job requiring an effort of ...

(8 specialists)·(9 hours) = 72 specialist·hours

In terms of assistant·hours, that is ...

72 specialist·hours = 24(3 specialist·hours) = 24(5 assistant·hours)

= 120 assistant·hours = (12 assistants)(10 hours)

It takes 12 assistants to complete the same job in 10 hours.

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User Ziad Alame
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