Two cars, A and B, are moving in uniform rectilinear motion with speeds of 120 km/h and 80 km/h, respectively. If at the initial moment A is 500 meters behind B, after one minute:
A) A will never overtake B
B) A has not yet overtaken B
C) A will overtake B after a much longer time than one minute
D) A has exactly reached B
E) A has overtaken B
IMAT 2025 · Question 55
Q55 - Kinematics and uniform motion
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The correct answer is E) A has overtaken B.
Use the relative speed: 120 − 80 = 40 km/h. In one minute, A gains 40/60 km ≈ 667 m.
The gap was 500 m, so A has already passed B. It catches up after 500 m ÷ 40 km/h = 45 seconds.
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