Question

30
workers
can complete the work in 20
days
workers should be employed
to complete the same work on 12
days
How many
more​

Answer 1

Answer:

18 hrs

Step-by-step explanation:

Method 1: Logic

30 people => 1 job per 12 days

1 person => 1 job per 12*30 days

20 people => 20 jobs per 12*30 days

Which can also be written as:

20 people => 1 job per 12*30/20 days

20 people => 1 job per 18 days

Method 2: Using math

let x be the rate of work done by one person, units are in jobs/day.

30 people complete 1 job in 12 days:

=> 30x = 1/12

solve for x by dividing both sides by 30:

=> x = 1/(12*30)

Find 20x, to get the amount of time needed to get 1 job done for 20 people. Multiply both sides by 20.

=> 20x = 20/(12*30)

=> 20x = 1/18

Therefore the working rate for 20 people is 1 job per 18 hours.

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