Both Leon and Mark took part in a 100m race. When Leon was at the 84m mark, Mark had 30m to go before finishing the race. How far was Mark from the finishing line when Leon reached the finishing line?
Question
Both Leon and Mark took part in a 100m race. When Leon was at the 84m mark, Mark had 30m to go before finishing the race. How far was Mark from the finishing line when Leon reached the finishing line?
Solution
When Leon was at the 84m mark, Mark had 30m to go. This means Mark was at the 70m mark (100m - 30m = 70m) when Leon was at the 84m mark.
The difference between Leon's and Mark's positions at this point was 14m (84m - 70m = 14m).
Since Leon and Mark were both running at the same time, Mark would have continued to run while Leon finished the race.
Assuming they both kept the same pace, when Leon ran the remaining 16m (100m - 84m = 16m) to finish the race, Mark would have also run 16m.
So, when Leon finished the race, Mark would have been at the 86m mark (70m + 16m = 86m).
Therefore, Mark was 14m from the finish line when Leon finished the race (100m - 86m = 14m).
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