Race timing from lead (repeat form): In a 300 m race, A defeats B by 15 m or 5 s. Determine A’s time over the course.
Aptitude
Races and Games
Difficulty: Easy
Choose an option
-
A100 seconds
-
B95 seconds
-
C105 seconds
-
D90 seconds
Answer
Correct Answer: 95 seconds
Explanation
Introduction / Context:Same structure as a classic race-time conversion problem: translate B's shortfall (distance and seconds) into B's speed and compute the shared finish time.
Given Data / Assumptions:
- Total race = 300 m
- B is 15 m behind at A's finish
- 15 m = 5 s for B
Concept / Approach:The finish time for A equals the time B took to run 285 m at 3 m/s.
Step-by-Step Solution:
B speed = 15 / 5 = 3 m/sA's finish time = 285 / 3 = 95 sVerification / Alternative check:In 95 s, B covers 285 m, 15 m behind the finish.
Why Other Options Are Wrong:They contradict the given 15 m in 5 s relationship for B.
Common Pitfalls:Using 300 m for B in the shared time instead of 285 m.
Final Answer:95 seconds