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When dealing with speed, distance, and time, it's often necessary to convert units to make calculations easier. In our example, time was originally given in minutes, but the speed needed to be in miles per hour, a much more standard unit for speed.

To convert minutes to hours, you need to understand the basic time equivalence: 1 hour equals 60 minutes. By dividing the number of minutes by 60, you change the unit from minutes to hours. For instance, to convert 55 minutes into hours, simply divide 55 by 60. This process ensures that both your distance and time are compatible units when calculating speed.

• 1 hour = 60 minutes
• Minutes to hours conversion: divide by 60
• Ensure consistent units for calculations

In any journey, understanding how distance and time interact is key. This relationship forms the basis for calculating speed. The general idea is simple: the longer the distance or the shorter the time taken, the faster the speed.

For example, if a train covers 75 miles in 55 minutes, you're observing this distance-time relationship directly. The distance tells us how far the train traveled, while the time tells us how long the train took to travel that distance. Together, they provide the two pivotal pieces of information necessary to determine speed.

• Distance: How far an object travels
• Time: Duration taken to travel the distance
• Combined, they help compute speed

The speed of an object describes how fast it is going, and it is often expressed in units like miles per hour. To calculate speed, you'll need to use the speed formula, which is derived from the fundamental distance-time relationship.

The formula for speed is:\[ s = \frac{d}{t} \] where:\[ s \] is speed,\[ d \] is distance, and\[ t \] is time.

In our example, the distance \( d \) is 75 miles and the time \( t \) after conversion is \( \frac{55}{60} \) hours. Plugging these values into the formula gives:\[ s = \frac{75}{\frac{55}{60}} \]. Performing this calculation will provide you the average speed in miles per hour. Checking units, as shown in this solved exercise, ensures accuracy in your computations.

• Speed = Distance / Time
• Use this formula to determine the speed from given values
• Ensuring units are consistent is crucial