Question Video: Determining the Distance Based On Speed and Time | Nagwa Question Video: Determining the Distance Based On Speed and Time | Nagwa

# Question Video: Determining the Distance Based On Speed and Time Mathematics • Second Year of Secondary School

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Determine the distance that a car moving with a velocity of 153 km/h covers in 1/4 hours.

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### Video Transcript

Determine the distance that a car moving with a velocity of 153 kilometers per hour covers in one-quarter hours.

In this question, we are given the velocity that a car is traveling at. And we want to calculate the distance that it covers in a given time period. We recall that velocity is a vector quantity and specifies both magnitude and direction, whereas speed is a scalar quantity. In this question, both of these are equal to 153 kilometers per hour. We also recall that the speed of an object can be calculated by dividing the distance covered by the time taken. In this question, we want to calculate the distance. So we can rewrite our formula as distance is equal to speed multiplied by time.

We therefore need to multiply 153 kilometers per hour by one-quarter hours. Multiplying by a quarter is the same as dividing by four. And 153 divided by four is 38.25. We can therefore conclude that the car covers a distance of 38.25 kilometers in one-quarter hours.

An alternative method would be to consider what a velocity of 153 kilometers per hour means. The car covers a distance of 153 kilometers in one hour. Assuming it is traveling with constant velocity, we can calculate the distance it covers in half an hour by multiplying 153 by one-half. This is the same as dividing 153 by two, which gives us 76.5. The car covers a distance of 76.5 kilometers in half an hour. We can then half this again to calculate the distance covered in a quarter of an hour. This confirms our answer of 38.25 kilometers.

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