Time gap to infer the slower speed: In a 100 m race, Kamal defeats Bimal by 5 s. If Kamal’s speed is 18 km/h, what is Bimal’s speed (km/h)?
Aptitude
Races and Games
Difficulty: Easy
Choose an option
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A15.4 km/h
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B14.5 km/h
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C14.4 km/h
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D14 km/h
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ENone of these
Answer
Correct Answer: 14.4 km/h
Explanation
Introduction / Context:Given one runner's speed and the finish time difference, compute the slower runner's finish time and speed.
Given Data / Assumptions:
- Kamal speed = 18 km/h = 5 m/s.
- Race = 100 m. Kamal wins by 5 s, so Bimal takes 5 s longer.
Concept / Approach:First find Kamal's time; add 5 s for Bimal; then compute Bimal's speed = distance / time, convert to km/h.
Step-by-Step Solution:
tKamal = 100 / 5 = 20 stBimal = 20 + 5 = 25 svBimal = 100 / 25 = 4 m/s = 14.4 km/hVerification / Alternative check:Unit conversion: 4 m/s * 3.6 = 14.4 km/h.
Why Other Options Are Wrong:15.4/14.5/14 are rounding or setup errors; the exact is 14.4.
Common Pitfalls:Misconverting m/s ↔ km/h or misapplying the 5 s gap.
Final Answer:14.4 km/h