Final answer:
After a month of training, Jonathan's mile time has improved to two thirds of his starting time of 15 minutes, which is 10 minutes. If he reduces his time by a further 20%, it will take him 8 minutes to run a mile.
Step-by-step explanation:
Jonathan's current mile time is two thirds of his original 15-minute mile, which can be calculated by multiplying 15 minutes by 2/3:
15 minutes × (2/3) = 10 minutes.
Now, to find the time it will take him to run a mile after reducing his new time by 20%, we calculate 20% of 10 minutes and subtract that from 10 minutes:
20% of 10 minutes = 2 minutes (since 20/100 × 10 minutes = 2 minutes).
So, his new time after the reduction will be:
10 minutes - 2 minutes = 8 minutes.
Therefore, after reducing his mile time by an additional 20%, it will take Jonathan 8 minutes to run a mile.