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If Sonu is driving a car at a speed of 2...

If Sonu is driving a car at a speed of 20 m/s, then in how much time Sonu will cover a distance of 936 km ?

A

18 hr

B

`46.8` hr

C

21 hr

D

13 hr

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how long it will take Sonu to cover a distance of 936 km while driving at a speed of 20 m/s, we can follow these steps: ### Step 1: Convert the speed from m/s to km/h The speed is given as 20 m/s. To convert this speed into kilometers per hour (km/h), we use the conversion factor: 1 m/s = 3.6 km/h. So, we calculate: \[ \text{Speed in km/h} = 20 \, \text{m/s} \times 3.6 \, \text{(km/h per m/s)} = 72 \, \text{km/h} \] ### Step 2: Use the formula for time The formula to calculate time when distance and speed are known is: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] ### Step 3: Substitute the values into the formula We know the distance is 936 km and the speed is 72 km/h. Now we can substitute these values into the formula: \[ \text{Time} = \frac{936 \, \text{km}}{72 \, \text{km/h}} \] ### Step 4: Calculate the time Now we perform the division: \[ \text{Time} = 13 \, \text{hours} \] Thus, it will take Sonu 13 hours to cover the distance of 936 km at a speed of 20 m/s. ### Final Answer: Sonu will take **13 hours** to cover the distance. ---
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