Question

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 in 9 hours. How many assistants can complete the same job in 10 hours?

Answer 1

12 Assistants

Explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants - 10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3 divided by 10/9 which is

40/3 * 9/10 = 12.