Problem

20.甲、乙两人沿400米环形跑道练习跑步,两人同时从跑道的同一地点向相反方向跑去。相遇后甲比原来 速度增加2米 / 秒,乙比原来速度减少2米 / 秒, 结果都用24秒同时回到原地。求甲原来的速度。

Answer

Expert–verified
Hide Steps
Answer

3. Final Answer: \( \boxed{v1 = \frac{44}{3} \text{ m/s}} \)

Steps

Step 1 :1. Set up the equations: \( (v1 + 2) * 24 = 400 \), \( (v2 - 2) * 24 = 400 \), and \( v1 * t1 = v2 * t2 \)

Step 2 :2. Solve the equations to find the value of v1: \( v1 = \frac{44}{3} \) m/s

Step 3 :3. Final Answer: \( \boxed{v1 = \frac{44}{3} \text{ m/s}} \)

link_gpt