In a 400 m race A beats B by 30 meters and B beats C by 20 meters, then A…
2025
In a 400 m race A beats B by 30 meters and B beats C by 20 meters, then A beats C by how many meters ?
- A.
50 m
- B.
45.5 m
- C.
55 m
- D.
48.5 m
Attempted by 16 students.
Show answer & explanation
Correct answer: D
Key idea: compare distances by ratios to find each runner's position when another finishes.
Step 1: When A runs 400 m, B runs 370 m (because A beats B by 30 m).
Step 2: When B runs 400 m, C runs 380 m, so C/B = 380/400 = 0.95. Therefore when B runs 370 m, C runs 370 × 0.95 = 351.5 m.
Step 3: When A finishes 400 m, C is at 351.5 m, so A beats C by 400 − 351.5 = 48.5 m.
Answer: 48.5 m