If the 400 meter world record is 46.72 seconds how fast would you have to run to beat it and how do you work that equation out?

Answer 1

1) 400 meters is 40%, or 2/5, of a kilometer.

2) Multiplying the time (46.72) and distance (400 meters) by 2.5 would get you the answer of how long it would take to run a kilometer at that pace (400 * 2.5 = 1000 meters and 46.72 * 2.5 = 116.8 seconds).

3) There are 3600 seconds in an hour.

4) By dividing 116.8 seconds, the time it would take to run one kilometer at the specified pace, into 3600 seconds you will get the speed in kilometers per hour. 3600 divided by 116.8 = 30.82. To run 400 meters in 46.72 seconds, you would have to run the race at a speed of 30.82 kilometers per hour.

Therefore, you would have to run 400 meters at a speed greater than 30.82 kilometers per hour to have a time faster than 46.72 seconds.

Equation (X is speed in kilometers per hour) -

A) X > (3600 / (2.5 * 46.72))

B) X > (3600 / 116.8)

C) X > 30.82