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Calculate the speed of a motor vehicle after it took 2 minutes to travel 2.4 km.

Mathematics

ScanSolve AI Answer

Answer

72 km/h72 \text{ km/h}

Step-by-step solution

3 steps
  1. Identify the given values and the formula for speed.

    The distance traveled is 2.4 km2.4 \text{ km}.
    The time taken is 2 minutes2 \text{ minutes}.
    The formula for speed is:

    Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}
  2. Convert the time from minutes to hours.

    Since there are 60 minutes60 \text{ minutes} in 1 hour1 \text{ hour}:

    Time in hours=2 minutes60 minutes/hour\text{Time in hours} = \frac{2 \text{ minutes}}{60 \text{ minutes/hour}} Time in hours=130 hours\text{Time in hours} = \frac{1}{30} \text{ hours}
  3. Calculate the speed.

    Substitute the distance and time (in hours) into the speed formula:

    Speed=2.4 km130 hours\text{Speed} = \frac{2.4 \text{ km}}{\frac{1}{30} \text{ hours}} Speed=2.4×30 km/h\text{Speed} = 2.4 \times 30 \text{ km/h} Speed=72 km/h\text{Speed} = 72 \text{ km/h}

    The speed of the motor vehicle is 72 km/h72 \text{ km/h}.

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