Question
Convert 120m / min into mph
Use ONLY these conversions below to help in your conversion
1 foot = 12 inches
3 Foot = 1 yards
5,280 Ft = I mile
1 inch = 2.54 cm
1 Km = 0. 62 miles
1000mm = 1 m
100 cm = 1 m
10 mm = 1 cm
1 Km = 1000 m
60 Sec = 1 min
60 min= 1 hr
24 hr = 1 day
365 days = 1 year
1 days = 1 week
52 weeks = 1 year
Use ONLY these conversions below to help in your conversion
1 foot = 12 inches
3 Foot = 1 yards
5,280 Ft = I mile
1 inch = 2.54 cm
1 Km = 0. 62 miles
1000mm = 1 m
100 cm = 1 m
10 mm = 1 cm
1 Km = 1000 m
60 Sec = 1 min
60 min= 1 hr
24 hr = 1 day
365 days = 1 year
1 days = 1 week
52 weeks = 1 year
Answers
GPT-4o mini
To convert 120 meters per minute (m/min) to miles per hour (mph), we will perform the conversion step-by-step using the provided conversions.
1. Convert meters to miles:
\[
1 \text{ mile} = 5280 \text{ feet}
\]
\[
1 \text{ meter} = 100 \text{ cm} = \frac{100 \text{ cm}}{2.54 \text{ cm/inch}} \cdot \frac{1 \text{ inch}}{12 \text{ inches/foot}} = \frac{100}{2.54 \times 12} \text{ feet}
\]
\[
1 \text{ meter} \approx 3.28084 \text{ feet}
\]
Thus,
\[
1 \text{ meter} \approx \frac{3.28084}{5280} \text{ miles} \approx 0.000621371 \text{ miles}
\]
2. Convert 120 m/min to miles/min:
\[
120 \text{ m/min} \times 0.000621371 \text{ miles/m} \approx 0.0745645 \text{ miles/min}
\]
3. Convert miles/min to miles/hour:
Since there are 60 minutes in an hour,
\[
0.0745645 \text{ miles/min} \times 60 \text{ min/hr} \approx 4.47387 \text{ miles/hr}
\]
Therefore, \(120 \text{ m/min} \approx 4.47 \text{ mph}\).
1. Convert meters to miles:
\[
1 \text{ mile} = 5280 \text{ feet}
\]
\[
1 \text{ meter} = 100 \text{ cm} = \frac{100 \text{ cm}}{2.54 \text{ cm/inch}} \cdot \frac{1 \text{ inch}}{12 \text{ inches/foot}} = \frac{100}{2.54 \times 12} \text{ feet}
\]
\[
1 \text{ meter} \approx 3.28084 \text{ feet}
\]
Thus,
\[
1 \text{ meter} \approx \frac{3.28084}{5280} \text{ miles} \approx 0.000621371 \text{ miles}
\]
2. Convert 120 m/min to miles/min:
\[
120 \text{ m/min} \times 0.000621371 \text{ miles/m} \approx 0.0745645 \text{ miles/min}
\]
3. Convert miles/min to miles/hour:
Since there are 60 minutes in an hour,
\[
0.0745645 \text{ miles/min} \times 60 \text{ min/hr} \approx 4.47387 \text{ miles/hr}
\]
Therefore, \(120 \text{ m/min} \approx 4.47 \text{ mph}\).
Is this right?
GPT-4o mini
Let's go through the calculation again to ensure accuracy.
To convert 120 meters per minute (m/min) to miles per hour (mph), we can follow these steps more formally:
1. **Convert Meters to Miles:**
We know:
- 1 mile = 5280 feet
- 1 meter ≈ 3.28084 feet
First, convert meters to feet:
\[
120 \text{ m/min} \times 3.28084 \text{ feet/m} = 393.701 \text{ feet/min}
\]
Now, convert feet to miles:
\[
393.701 \text{ feet/min} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \approx 0.074564 \text{ miles/min}
\]
2. **Convert Miles per Minute to Miles per Hour:**
There are 60 minutes in an hour:
\[
0.074564 \text{ miles/min} \times 60 \text{ min/hr} \approx 4.47384 \text{ miles/hr}
\]
So, the final conversion of **120 m/min = approximately 4.47 mph** is indeed correct. Thank you for verifying, and feel free to ask if you have any further questions!
To convert 120 meters per minute (m/min) to miles per hour (mph), we can follow these steps more formally:
1. **Convert Meters to Miles:**
We know:
- 1 mile = 5280 feet
- 1 meter ≈ 3.28084 feet
First, convert meters to feet:
\[
120 \text{ m/min} \times 3.28084 \text{ feet/m} = 393.701 \text{ feet/min}
\]
Now, convert feet to miles:
\[
393.701 \text{ feet/min} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \approx 0.074564 \text{ miles/min}
\]
2. **Convert Miles per Minute to Miles per Hour:**
There are 60 minutes in an hour:
\[
0.074564 \text{ miles/min} \times 60 \text{ min/hr} \approx 4.47384 \text{ miles/hr}
\]
So, the final conversion of **120 m/min = approximately 4.47 mph** is indeed correct. Thank you for verifying, and feel free to ask if you have any further questions!
I’m only supposed to use the conversions in the chart above that’s why I’m struggling with it. I’m not supposed to use any other numbers like the ones you put in. Can you just use the conversions used in the chart above please?
GPT-4o mini
I apologize for not adhering strictly to your provided conversions earlier. Let's work through the conversion of 120 meters per minute (m/min) to miles per hour (mph) using only the conversions provided in your list.
From your conversions, we have:
- \( 1 \text{ km} = 1000 \text{ m} \)
- \( 1 \text{ km} = 0.62 \text{ miles} \)
- \( 60 \text{ seconds} = 1 \text{ minute} \)
- \( 60 \text{ minutes} = 1 \text{ hour} \)
Now, let's convert 120 m/min to mph stepwise using only the specified conversions.
1. **Convert Meters to Kilometers:**
\[
120 \text{ m} = \frac{120}{1000} \text{ km} = 0.12 \text{ km}
\]
Since this is per minute,
\[
120 \text{ m/min} = 0.12 \text{ km/min}
\]
2. **Convert Kilometers to Miles:**
Using the conversion \( 1 \text{ km} = 0.62 \text{ miles} \):
\[
0.12 \text{ km/min} \times 0.62 \text{ miles/km} = 0.0744 \text{ miles/min}
\]
3. **Convert Miles per Minute to Miles per Hour:**
Since there are 60 minutes in an hour:
\[
0.0744 \text{ miles/min} \times 60 \text{ min/hr} = 4.464 \text{ miles/hr}
\]
Thus, using only the conversions you provided, **120 m/min is approximately 4.464 mph.**
Thank you for your patience, and I hope this meets your requirements!
From your conversions, we have:
- \( 1 \text{ km} = 1000 \text{ m} \)
- \( 1 \text{ km} = 0.62 \text{ miles} \)
- \( 60 \text{ seconds} = 1 \text{ minute} \)
- \( 60 \text{ minutes} = 1 \text{ hour} \)
Now, let's convert 120 m/min to mph stepwise using only the specified conversions.
1. **Convert Meters to Kilometers:**
\[
120 \text{ m} = \frac{120}{1000} \text{ km} = 0.12 \text{ km}
\]
Since this is per minute,
\[
120 \text{ m/min} = 0.12 \text{ km/min}
\]
2. **Convert Kilometers to Miles:**
Using the conversion \( 1 \text{ km} = 0.62 \text{ miles} \):
\[
0.12 \text{ km/min} \times 0.62 \text{ miles/km} = 0.0744 \text{ miles/min}
\]
3. **Convert Miles per Minute to Miles per Hour:**
Since there are 60 minutes in an hour:
\[
0.0744 \text{ miles/min} \times 60 \text{ min/hr} = 4.464 \text{ miles/hr}
\]
Thus, using only the conversions you provided, **120 m/min is approximately 4.464 mph.**
Thank you for your patience, and I hope this meets your requirements!
Is this right? I wrote it the way that I needed it. Please don’t change my format in which I’m writing my problem
120m/1min X 1Km/1000m X 0.62Miles/1Km X 1 Min/60Sec
I think I did it wrong because I didn’t get my answer I needed too, can you write where I messed up and how I can fix it and format it the same way I did here please
120m/1min X 1Km/1000m X 0.62Miles/1Km X 1 Min/60Sec
I think I did it wrong because I didn’t get my answer I needed too, can you write where I messed up and how I can fix it and format it the same way I did here please
GPT-4o mini
Of course! Let's go step by step using the format you provided and identify where things might have gone wrong:
Your original setup was:
\[
120 \, \text{m} / 1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} \times \frac{1 \, \text{min}}{60 \, \text{sec}}
\]
Let's format it correctly to convert from meters per minute to miles per hour.
**Correct Conversion Steps:**
1. Start with the speed in meters per minute:
\[
120 \, \text{m} / 1 \, \text{min}
\]
2. **Convert Meters to Kilometers:**
\[
120 \, \text{m} / 1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} = \frac{120}{1000} \, \text{km/min} = 0.12 \, \text{km/min}
\]
3. **Convert Kilometers to Miles:**
\[
0.12 \, \text{km/min} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} = 0.12 \times 0.62 \, \text{miles/min}
\]
\[
= 0.0744 \, \text{miles/min}
\]
4. **Convert Miles per Minute to Miles per Hour:**
To do this, include the conversion factor for minutes to hours:
\[
0.0744 \, \text{miles/min} \times \frac{60 \, \text{min}}{1 \, \text{hr}} = 0.0744 \times 60 \, \text{miles/hr}
\]
\[
= 4.464 \, \text{miles/hr}
\]
To clearly summarize the conversion in the same format you provided, it would be:
**Final Correct Format:**
\[
120 \, \text{m}/1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} \times \frac{60 \, \text{min}}{1 \, \text{hr}}
\]
Now, let's calculate it out:
\[
120 \times \frac{1}{1000} \times 0.62 \times 60 = 4.464 \, \text{miles/hr}
\]
**Where You Messed Up:**
- In your original multiplication, you did not include the conversion from minutes to hours correctly since you noted \(1\, \text{min}/60\, \text{sec}\) instead of \(60\, \text{min}/1\, \text{hr}\).
- You need to multiply by \(60\, \text{min}/1\, \text{hr}\) to convert correctly to miles per hour.
I hope this helps! If you have any more questions or need further clarification, feel free to ask.
Your original setup was:
\[
120 \, \text{m} / 1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} \times \frac{1 \, \text{min}}{60 \, \text{sec}}
\]
Let's format it correctly to convert from meters per minute to miles per hour.
**Correct Conversion Steps:**
1. Start with the speed in meters per minute:
\[
120 \, \text{m} / 1 \, \text{min}
\]
2. **Convert Meters to Kilometers:**
\[
120 \, \text{m} / 1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} = \frac{120}{1000} \, \text{km/min} = 0.12 \, \text{km/min}
\]
3. **Convert Kilometers to Miles:**
\[
0.12 \, \text{km/min} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} = 0.12 \times 0.62 \, \text{miles/min}
\]
\[
= 0.0744 \, \text{miles/min}
\]
4. **Convert Miles per Minute to Miles per Hour:**
To do this, include the conversion factor for minutes to hours:
\[
0.0744 \, \text{miles/min} \times \frac{60 \, \text{min}}{1 \, \text{hr}} = 0.0744 \times 60 \, \text{miles/hr}
\]
\[
= 4.464 \, \text{miles/hr}
\]
To clearly summarize the conversion in the same format you provided, it would be:
**Final Correct Format:**
\[
120 \, \text{m}/1 \, \text{min} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{0.62 \, \text{miles}}{1 \, \text{km}} \times \frac{60 \, \text{min}}{1 \, \text{hr}}
\]
Now, let's calculate it out:
\[
120 \times \frac{1}{1000} \times 0.62 \times 60 = 4.464 \, \text{miles/hr}
\]
**Where You Messed Up:**
- In your original multiplication, you did not include the conversion from minutes to hours correctly since you noted \(1\, \text{min}/60\, \text{sec}\) instead of \(60\, \text{min}/1\, \text{hr}\).
- You need to multiply by \(60\, \text{min}/1\, \text{hr}\) to convert correctly to miles per hour.
I hope this helps! If you have any more questions or need further clarification, feel free to ask.