Glenn needs 20 minutes to clean his room. If his little sister Veronika pulls things out while he is cleaning, it takes 60 minutes for him to clean the room. How many minutes does it take for Veronika to pull everything out?
Accepted Solution
A:
Answer:It takes 30 minutesStep By Step:The rate of Glenn in finishing a job would be equivalent to:Rate (G) = 1job / 20 minutesWhile the rate of Veronika is:Rate (V) = 1job / x---> x is the unknown Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:1 / 20 – 1 /x = 1 / 60The rate ofVeronika is subtracted from the rate of Glenn since Veronika is slowing Glenndown. Solving for x:Multiply bothsides by 60 x(1 / 20 – 1 /x = 1 / 60) * 60 x3 x – 60 = x2 x = 60x = 30Therefore ittakes 30 minutes for Veronika to pull everything out.