A runner runs 30 seconds at 5 min/mile pace followed by 30 seconds at 10 min/mile pace. The runner continues alternating running 30 seconds and jogging 30 seconds at these paces for one mile.
1. How fast does he cover one mile?
2. Can you do the math in your head? If so, how did you do it?
6:40
Math whiz wrote:
6:40
6:30
6:30
30 sec @ 5 min pace = 1/10 of a mile
30 sec @ 10 min pace = 1/20 of a mile
1 min of this type of workout = 3/20 of a mile
6 min = 18/20 of a mile
In the next 30 seconds you cover another 1/10 (2/20) in 30 seconds so you will finish the mile in 6:30
I suspect that math whiz did the same computing but made a mistake over the final 2/20. He made the assumption that you are covering 3/20 every minute so to cover the remaining 2/20 you would need 30 sec. This fails to take into account the variable pace rather than just extrapolating the average.
Better than Math Whiz wrote:
He made the assumption that you are covering 3/20 every minute so to cover the remaining 2/20 you would need 30 sec. This fails to take into account the variable pace rather than just extrapolating the average.
I meant to say that he assumed that covering the remaining 2/20 would require 40 sec (2/3 of a minute). And sorry, hadn't seen hardloper's reply when I started mine.
Better than Math Whiz wrote:
6:30
30 sec @ 5 min pace = 1/10 of a mile
30 sec @ 10 min pace = 1/20 of a mile
1 min of this type of workout = 3/20 of a mile
6 min = 18/20 of a mile
In the next 30 seconds you cover another 1/10 (2/20) in 30 seconds so you will finish the mile in 6:30
I suspect that math whiz did the same computing but made a mistake over the final 2/20. He made the assumption that you are covering 3/20 every minute so to cover the remaining 2/20 you would need 30 sec. This fails to take into account the variable pace rather than just extrapolating the average.
Nicely done. Bravo.
Solved it in my head before even reading as far as part 2 and im stupid as hell lol
30 sec = 1/10 of 5 min so he travels 160m in 30 seconds. The next 30 seconds at 10min pace cover 80 meters by same logic. Thsts 240m every min. 240×6 = 1440 which leaves us 160 m to go which we already no takes 30 more seconds at 5min pace
7:30
5x.5=2.5
10x.5=5
2.5+5=7:30 pace..
6:30 would be alternating between a 5 and 8 min pace (duhh)
dumbas* wrote:
7:30
5x.5=2.5
10x.5=5
2.5+5=7:30 pace..
6:30 would be alternating between a 5 and 8 min pace (duhh)
This doesn't work because the segments are equal time, not equal distance. If this is not enough explanation for you, then you just don't have a mind for math. It's not a big deal; most people don't.
indeed
you are a d u m b a s s
Great interview with Steve Cram - says Jakob has no chance of WRs this year
I’m a D2 female runner. Our coach explicitly told us not to visit LetsRun forums.
RENATO can you talk about the preparation of Emile Cairess 2:06
adizero Road to Records with Yomif Kejelcha, Agnes Ngetich, Hobbs Kessler & many more is Saturday
2024 College Track & Field Open Coaching Positions Discussion
Hats off to my dad. He just ran a 1:42 Half Marathon and turns 75 in 2 months!