Yalmaz traverses a 400-meter path in 2 minutes, whereas Rayan covers 1 km in 300 seconds. Calculate the proportion of their respective velocities.
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Answer: D. 1:1
Explanation
Yalmaz travels four hundred meters in one hundred twenty seconds to reach his velocity. Rayan covers one thousand meters in three hundred seconds to achieve the exact same speed. Both travelers move at three point three three meters per second, creating a one ratio. Velocity is defined as the rate of change of position with respect to time. Converting meters and seconds into standard units allows direct and accurate mathematical comparison. A ratio compares two quantities by showing relative sizes and proportional relationships clearly.
Calculating relative velocities is essential in transportation engineering, physics, and athletic training. Vehicle safety systems rely on precise velocity measurements to prevent collisions on roads. Sports analysts compare athlete speeds to evaluate performance and determine competitive advantages. Option A suggests a two to five ratio, which incorrectly implies unequal travel speeds. Option B suggests a four to three ratio, contradicting the identical calculated velocities. Option C suggests a one to two ratio, failing to reflect the equivalent movement rates.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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