A train travels 50 miles in 29 minutes what is its speed in miles per hour
The correct answer and explanation is:
To find the speed of a train that travels 50 miles in 29 minutes, use the formula:
Speed = Distance ÷ Time
First, convert 29 minutes into hours because speed in miles per hour requires time in hours. There are 60 minutes in one hour:
29 minutes ÷ 60 = 0.4833 hours (rounded to four decimal places)
Now apply the formula:
Speed = 50 miles ÷ 0.4833 hours ≈ 103.45 miles per hour
Explanation:
Speed is a measure of how fast an object is moving. It is commonly expressed in miles per hour when dealing with vehicles like trains or cars. In this case, the train covers a distance of 50 miles in a short time span of 29 minutes. To determine its speed accurately, time must be expressed in hours since the final answer is expected in miles per hour.
The first step involves converting 29 minutes into hours. Since 1 hour has 60 minutes, divide 29 by 60. This gives approximately 0.4833 hours. Once time is in hours, the speed formula can be used. The distance the train traveled is 50 miles. Divide this distance by the time in hours to get the speed.
The result is around 103.45 miles per hour, meaning the train is moving quite fast. High-speed trains often travel at such speeds to reduce travel time over long distances. Calculating speed this way is essential in travel planning, engineering, and transportation safety. It helps evaluate performance and schedule efficiency, especially in logistics and public transportation systems.
Understanding speed also supports comparisons. For example, a car that travels the same distance in 1 hour would be slower than this train. The calculation gives a clear, numerical representation of how quickly the train moves.