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A boy crosses a 300 metres wide road in ...

A boy crosses a 300 metres wide road in 30 seconds. What is his speed (in km/hr)?

A

18

B

54

C

36

D

27

Text Solution

AI Generated Solution

The correct Answer is:
To find the speed of the boy in kilometers per hour, we can follow these steps: ### Step 1: Identify the distance and time The boy crosses a road that is 300 meters wide in 30 seconds. ### Step 2: Use the formula for speed The formula for speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] ### Step 3: Substitute the values into the formula Here, the distance is 300 meters and the time is 30 seconds. So we can substitute these values: \[ \text{Speed} = \frac{300 \text{ meters}}{30 \text{ seconds}} = 10 \text{ meters per second} \] ### Step 4: Convert the speed from meters per second to kilometers per hour To convert meters per second to kilometers per hour, we use the conversion factor \( \frac{18}{5} \): \[ \text{Speed in km/hr} = 10 \text{ m/s} \times \frac{18}{5} \] ### Step 5: Calculate the speed in kilometers per hour Now, we perform the multiplication: \[ \text{Speed in km/hr} = 10 \times \frac{18}{5} = 10 \times 3.6 = 36 \text{ km/hr} \] ### Final Answer The speed of the boy is **36 kilometers per hour**. ---
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