Runners’ Up

Vinesh is the fiftieth fastest and the fiftieth slowest runner in his school.

Assuming no two runners are the same speed.

How many runners are in Vinesh’s school?

Solution

If Vinesh is the fiftieth fastest runner, he would be number 50 in the sequence 1,2, ….,50.
To be the fiftieth slowest, he would have to be number 50 in the sequence 50, 51, 52, …, 99.
Since there are fifty numbers from 50 to 99 inclusive.

Thus, there are 99 runners in Vinesh’s school.