How far is 150 miles in hours?
Understand the Problem
The question is asking for the time it takes to travel a distance of 150 miles, which is dependent on the speed at which one travels. To solve it, we would need to know the speed in miles per hour (mph) to calculate the time in hours.
Answer
Time to travel 150 miles is $ t = \frac{150}{s} $ hours, where $ s $ is speed in mph.
Answer for screen readers
The time it takes to travel 150 miles is given by the formula $ t = \frac{150}{s} $, where $ s $ is the speed in mph. For example, at 50 mph, it takes 3 hours; at 75 mph, it takes 2 hours; and at 30 mph, it takes 5 hours.
Steps to Solve
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Identify the Formula for Time
To find the time it takes to travel a certain distance, we use the formula:
$$ t = \frac{d}{s} $$
where ( t ) is the time, ( d ) is the distance, and ( s ) is the speed. -
Plug in the Values
In this case, the distance ( d ) is 150 miles. We need to use the speed ( s ) in miles per hour (mph).
The formula then becomes:
$$ t = \frac{150}{s} $$ -
Calculate with Specific Speeds
To find the time for various speeds, plug in different values for ( s ). For example:
- If ( s = 50 ) mph:
$$ t = \frac{150}{50} = 3 \text{ hours} $$ - If ( s = 75 ) mph:
$$ t = \frac{150}{75} = 2 \text{ hours} $$ - If ( s = 30 ) mph:
$$ t = \frac{150}{30} = 5 \text{ hours} $$
- Interpret the Results
Depending on the speed chosen, the time required to travel 150 miles will change. Always ensure the speed is in mph to maintain consistent units.
The time it takes to travel 150 miles is given by the formula $ t = \frac{150}{s} $, where $ s $ is the speed in mph. For example, at 50 mph, it takes 3 hours; at 75 mph, it takes 2 hours; and at 30 mph, it takes 5 hours.
More Information
The formula for calculating time based on distance and speed is fundamental in physics and everyday problem-solving. Understanding how speed affects travel time can help in planning trips.
Tips
- Not using consistent units (e.g., mixing miles and kilometers).
- Forgetting to convert speed to mph if it’s given in a different unit.
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