Question

A runner's racecourse has a total distance of 7.5 mi. Race officials want to mark the course every 400 yd with a flag, including one at the finish line. (The starting line does not need a flag.) How many flags are needed?

First, calculate the number of flags required for each 400-yard segment using the provided ratios. Then, multiply this number by the total number of 400-yard segments in 7.5 miles to find the total number of flags needed.

Remember that 1 mile is equal to 1760 yards.

Now, perform the calculations and fill in the blanks accordingly.

Answer 1

To find the number of flags needed for a 7.5-mile race where flags are every 400 yards, convert 7.5 miles to yards and divide by 400. The racecourse will need a total of 33 flags.

Step-by-step explanation:

To determine the total number of flags needed for a racecourse of 7.5 miles where flags are placed every 400 yards, we first need to convert the total distance of the racecourse to yards. Since 1 mile equals 1760 yards, we multiply 7.5 miles by 1760 to find out the total distance in yards:

7.5 miles × 1760 yards/mile = 13,200 yards.

Next, we calculate how many 400-yard segments are in 13,200 yards:

13,200 yards ÷ 400 yards/segment = 33 segments.

As a flag is placed at the end of each 400-yard segment—excluding the starting line but including the finish line—we then determine that the race will need 33 flags.