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The speed of a car is 36 km/hour, in how...

The speed of a car is 36 km/hour, in how much time will it cover the distance of 720 meters.

A

72 second

B

60 second

C

80 second

D

20 second

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how much time it will take for a car traveling at a speed of 36 km/hour to cover a distance of 720 meters, we can follow these steps: ### Step 1: Convert the speed from km/hour to m/s The speed is given in kilometers per hour (km/h), but we need to convert it to meters per second (m/s) since the distance is given in meters. 1 km = 1000 meters 1 hour = 3600 seconds To convert km/h to m/s, we use the formula: \[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ m}}{3600 \text{ s}} \] Substituting the given speed: \[ \text{Speed in m/s} = 36 \times \frac{1000}{3600} \] Calculating this gives: \[ \text{Speed in m/s} = 36 \times \frac{5}{18} = 10 \text{ m/s} \] ### Step 2: Use the formula to find time We know the formula that relates distance, speed, and time: \[ \text{Distance} = \text{Speed} \times \text{Time} \] We can rearrange this formula to solve for time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] ### Step 3: Substitute the values into the formula Now we can substitute the distance (720 meters) and the speed (10 m/s) into the formula: \[ \text{Time} = \frac{720 \text{ m}}{10 \text{ m/s}} \] Calculating this gives: \[ \text{Time} = 72 \text{ seconds} \] ### Final Answer The time taken to cover the distance of 720 meters at a speed of 36 km/hour is **72 seconds**. ---
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MOTHERS-TIMES & DISTANCE -CLASS ROOM EXERCISE
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