4. The three members of a relay team divide a race between them into the ratio \( 4: 5: 3 \). If the race is 36 km long how far does each member of the

To solve the problem, we first need to find the total number of parts in the ratio \( 4: 5: 3 \), which is \( 4 + 5 + 3 = 12 \) parts. Next, we can determine the distance each member runs by finding the distance represented by a single part, which is \( 36 \, \text{km} / 12 \, \text{parts} = 3 \, \text{km per part} \). Therefore, the distances run by each member of the relay team are: - The first member runs \( 4 \times 3 \, \text{km} = 12 \, \text{km} \). - The second member runs \( 5 \times 3 \, \text{km} = 15 \, \text{km} \). - The third member runs \( 3 \times 3 \, \text{km} = 9 \, \text{km} \). Real-world relay races often utilize strategies for transitioning between runners efficiently. Quick handoffs can make or break a team's performance, as even a second lost during a change can mean the difference between winning and losing. Practicing these transitions is essential for developing synergy among the team members. The historical origins of relay races can be traced back to ancient times, where sending messages over long distances was vital. The first recorded relay was during the Olympic Games in 1896. Today, relay races have evolved into thrilling events that showcase teamwork, speed, and strategy, making them a highlight in track and field competitions all around the world!