Winning margin from 100 m times: A runs 100 m in 27 s and B in 30 s. By how many metres does A beat B?

Difficulty: Easy

Correct Answer: 10 m

Explanation:


Introduction / Context:
Compute the distance B covers in the time A finishes; the difference from 100 m is A’s winning margin.


Given Data / Assumptions:

  • A's time = 27 s
  • B's 100 m time = 30 s


Concept / Approach:
Distance covered by B in 27 s equals (27/30)*100. Subtract from 100 to get the margin.


Step-by-Step Solution:

B distance in 27 s = (27/30)*100 = 90 mMargin = 100 − 90 = 10 m


Verification / Alternative check:
Speed method: v_B = 100/30 m/s, margin over 27 s = (100/27 − 100/30)*27 = 10 m.


Why Other Options Are Wrong:
They do not match B’s progress in 27 s.


Common Pitfalls:
Using time difference (3 s) as distance; times must be converted via speed.


Final Answer:
10 m

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