Calculating Speed in km/h
The problem asks for Manoj's speed in kilometers per hour (km/h), given the distance he crossed and the time taken.
Convert Distance and Time Units
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Convert Distance: The distance is given as 500 meters (m). To convert meters to kilometers (km), divide by 1000.
Distance = $\frac{500}{1000}$ km = 0.5 km
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Convert Time: The time is given as 5 minutes (min). To convert minutes to hours (h), divide by 60.
Time = $\frac{5}{60}$ h = $\frac{1}{12}$ h
Calculate Speed
Speed is calculated using the formula: Speed = Distance / Time.
Substitute the converted values:
Speed = $\frac{0.5 \text{ km}}{\frac{1}{12} \text{ h}}$
To divide by a fraction, multiply by its reciprocal:
Speed = $0.5 \times 12$ km/h
Speed = 6 km/h
Final Answer
Manoj's speed is 6 km/h.
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