Final answer:
To win the bet, Jon would have to run for 2.25 minutes at the same pace as the 400-meter dash.
Step-by-step explanation:
To find out how many minutes Jon would have to run at the same pace to win the bet, we need to convert the distance he ran in the 400-meter dash to kilometers.
There are 1000 meters in a kilometer, so we divide 400 by 1000 to get 0.4 kilometers.
Since his time for 0.4 kilometers was 54 seconds, we can set up a proportion to find the time for 1 kilometer:
0.4 km / 54 s = 1 km / x s
Cross-multiplying, we have:
0.4x = 54
x = 54 / 0.4
x = 135
Therefore, Jon would have to run for 135 seconds to win the bet. Since 1 minute is equal to 60 seconds, we can divide 135 by 60 to convert seconds to minutes:
135 s / 60 s = 2.25 minutes
So, Jon would have to run for 2.25 minutes at the same pace to win the bet.