30 works can complete a works in 20 days how many more workers should be employed to complete the same work in 12 days
Answers
Answer:
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.
Step-by-step explanation:
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Answer:
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.