PROBLEMS INVOLVING SYSTEMS OF LINEAR INEQUALITIES IN TWO VARIABLES
Working together, Jack and Perla can finish polishing a furniture in 12 days. Jack can do 2 times as much as Perla can. How long will it take Jack to finish the job alone? How about Perla?
Answers & Comments
Working together, Jack and Perla can finish polishing a furniture in 12 days. Jack can do 2 times as much as Perla can. How long will it take Jack to finish the job alone? How about Perla?
Answer:
Let's call Jack's work per day X hours and Perla's per day Y hours.
In that case, we can create the equation X = 2Y since Jack can get twice as much work done as Perla in the same time period.
We can now solve for X by dividing both sides by 2 to get X = Y/2.
Finally, we can substitute this into our original equation to find that Jack working alone would take 12/Y days to finish the job
Therefore, It would take Jack 6 days to finish the job alone while Perla would take 24 days to finish the job by herself.