In 1954 the English runner Roger Bannister broke the four minute barrier for the mile with a time of 3:59.4s (3 min and 59.4 sec) In 1999 the Morroccan runner Hicham set a record of 3:43.13s for the mile. If these two runners had run in the same race, each running the entire race at the average speed that placed him in the record books, Hicham would have won, by how many meters?

To determine how many meters Hicham would have won by, we first need to calculate their average speeds. Then we can compare the distance covered by each runner within the same time frame.

To find the average speed of each runner, we can use the formula:
Speed = Distance / Time

Let's start with Roger Bannister's average speed:
Distance covered by Roger Bannister = 1 mile (1609.34 meters)
Time taken by Roger Bannister = 3 minutes and 59.4 seconds = 3 × 60 + 59.4 = 239.4 seconds

Average Speed of Roger Bannister = Distance / Time
Average Speed of Roger Bannister = 1609.34 meters / 239.4 seconds = 6.72 meters per second

Now let's find Hicham's average speed:
Distance covered by Hicham = 1 mile (1609.34 meters)
Time taken by Hicham = 3 minutes and 43.13 seconds = 3 × 60 + 43.13 = 223.13 seconds

Average Speed of Hicham = Distance / Time
Average Speed of Hicham = 1609.34 meters / 223.13 seconds = 7.22 meters per second

Now that we have the average speeds of both runners, we can calculate the distance Hicham would have covered while Roger Bannister finishes the race.

Time taken by Roger Bannister to complete the race = 239.4 seconds
Distance covered by Hicham = Average Speed of Hicham × Time taken by Roger Bannister
Distance covered by Hicham = 7.22 meters per second × 239.4 seconds = 1731.61 meters

Since the total distance of the race is 1609.34 meters (1 mile), Hicham would have won by:
Distance covered by Hicham - Distance of the race
1731.61 meters - 1609.34 meters = 122.27 meters

Therefore, if Roger Bannister and Hicham had run in the same race, each at their average record-setting speeds, Hicham would have won by approximately 122.27 meters.