Defeat distance from pace times: Yogesh runs 1 km in 6 min 20 s; Vijay runs 1 km in 6 min 40 s. By what distance can Yogesh beat Vijay in a 1 km race?

Introduction / Context:
Compare the slower runner’s distance in the faster runner’s finish time to compute the winning margin.

Given Data / Assumptions:

• T_Yogesh = 380 s
• T_Vijay = 400 s
• Race length = 1000 m

Concept / Approach:
Distance covered by Vijay in 380 s is (1000/400)*380; subtract from 1000 m for the margin.

Step-by-Step Solution:

Verification / Alternative check:
Speeds 1000/380 vs 1000/400 confirm 50 m difference over 380 s.

Why Other Options Are Wrong:
Other numbers do not match the precise calculation.

Common Pitfalls:
Switching the runners or mis-converting times.

Final Answer:
50 m