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A person crosses a 600 m long street in ...

A person crosses a 600 m long street in 5 minutes. What is his speed in km/h ?

A

`7 (1)/(5)`

B

`8 (1)/(5)`

C

`9 (1)/(5)`

D

8

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The correct Answer is:
To find the speed of a person who crosses a 600 m long street in 5 minutes, we can follow these steps: ### Step-by-Step Solution 1. **Identify the given values**: - Distance = 600 meters - Time = 5 minutes 2. **Convert time from minutes to seconds**: - Since speed is often calculated in meters per second (m/s) or kilometers per hour (km/h), we need to convert the time into seconds. - \( 5 \text{ minutes} = 5 \times 60 = 300 \text{ seconds} \) 3. **Calculate speed in meters per second (m/s)**: - Use the formula for speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] - Plug in the values: \[ \text{Speed} = \frac{600 \text{ meters}}{300 \text{ seconds}} = 2 \text{ m/s} \] 4. **Convert speed from meters per second to kilometers per hour**: - To convert m/s to km/h, use the conversion factor: \[ 1 \text{ m/s} = 3.6 \text{ km/h} \] - Therefore: \[ \text{Speed in km/h} = 2 \text{ m/s} \times 3.6 = 7.2 \text{ km/h} \] 5. **Final Answer**: - The speed of the person is **7.2 km/h**.
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