A marathon is 26.2 miles long. There is a water station every 11/4
miles along the race route. How many water stations are needed for this marathon?
To find the number of water stations needed for the marathon, we can divide the total length of the race route by the distance between each water station.
Total length of the race route: 26.2 miles
Distance between each water station: 11/4 miles
To divide 26.2 miles by 11/4 miles, we need to find the reciprocal of 11/4 and multiply it with 26.2 miles:
Reciprocal of 11/4: 4/11
Number of water stations = 26.2 miles * (4/11) = 9.6 water stations.
However, since we cannot have a fraction of a water station, we need to round up to the nearest whole number. Therefore, 10 water stations are needed for this marathon.