Answer:
September: 40 min
October: 32 min
April: 44.8 min
Percentage change: -10.4%
Explanation:
In August, Thom complete a 5K in 50 minutes. In September, he cut down his time by 20%, so to calculate Thom's time in September, we need to calculate 20% of 50 minutes and subtract it from the initial time, so
50 min x 20% = 50 min x 20 / 100 = 1000/100 = 10 min
Then, the time in September is
50 min - 10 min = 40 min
In October, he cut 20% off of the 40 min that he has in September, so we can calculate Thom's time in October as
40 min x 20% = 40 min x 20 / 100 = 8 min
40 min - 8 min = 32 min
Finally, in April he increases his time by 40% since October, so the time in April is equal to
32 min x 40% = 32 x 40 / 100 = 12.8 min
32 min + 12.8 min = 44.8 min
Therefore, from August to April he goes from 50 minutes to 44.8 minutes. The overall percentage of change can be calculated as
[tex]\frac{44.8-50}{50}\times100=-10.4\text{ \%}[/tex]So, he cut down his time by 10.4% from August to April.