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An athelete runs 400meters race in 24 se...

An athelete runs 400meters race in 24 seconds. His speed (in km/hr) is

A

A. 50

B

B. 60

C

C. 40

D

D. 10

Text Solution

AI Generated Solution

The correct Answer is:
To find the speed of the athlete in kilometers per hour (km/hr), we can follow these steps: ### Step 1: Convert the distance from meters to kilometers. The distance given is 400 meters. To convert meters to kilometers, we use the conversion factor where 1 kilometer = 1000 meters. \[ \text{Distance in kilometers} = \frac{400 \text{ meters}}{1000} = 0.4 \text{ kilometers} \] ### Step 2: Convert the time from seconds to hours. The time given is 24 seconds. To convert seconds to hours, we use the conversion factor where 1 hour = 3600 seconds. \[ \text{Time in hours} = \frac{24 \text{ seconds}}{3600} = \frac{24}{3600} = \frac{1}{150} \text{ hours} \] ### Step 3: Use the formula for speed. The formula for speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Substituting the values we calculated: \[ \text{Speed} = \frac{0.4 \text{ kilometers}}{\frac{1}{150} \text{ hours}} = 0.4 \times 150 = 60 \text{ km/hr} \] ### Conclusion The speed of the athlete is 60 kilometers per hour (km/hr). ---
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