A runners racecourse has a total distance of 10miles. Race officials want to mark the course every 275 yd with a flag, including one at the finish line. The starting line does not need a flag. How many flags are needed?

1 answer

To find the number of flags needed, we can start by converting the total distance of the racecourse from miles to yards. Since there are 1760 yards in a mile, the racecourse is 10 * 1760 = <<10*1760=17600>>17600 yards long.
Next, we divide the total distance of the racecourse by the distance between each flag, including one at the finish line. There are 275 + 1 = <<275+1=276>>276 yards between each flag, including one at the finish line.
Therefore, the number of flags needed is 17600 / 276 = <<17600/276=63.768>>63.768.
Since we cannot have a fraction of a flag, we round up to the nearest whole number.
Thus, 64 flags are needed. Answer: \boxed{64}.