Question
How many hours will it take for a plane to travel from New York to Los Angeles at 500 miles per hour with a 15 miles per hour tailwind?
Answers
GPT-4o mini
To determine the travel time for a plane flying from New York to Los Angeles at a speed of 500 miles per hour with a 15 miles per hour tailwind, we first need to calculate the effective speed of the plane.
1. **Effective Speed Calculation**:
The plane's speed increases by the speed of the tailwind:
\[
\text{Effective Speed} = \text{Plane Speed} + \text{Tailwind Speed} = 500 \text{ mph} + 15 \text{ mph} = 515 \text{ mph}
\]
2. **Distance Calculation**:
The approximate distance from New York to Los Angeles is about 2,475 miles.
3. **Travel Time Calculation**:
To find the travel time, we use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substituting in the values:
\[
\text{Time} = \frac{2475 \text{ miles}}{515 \text{ mph}} \approx 4.80 \text{ hours}
\]
Thus, it will take approximately **4.8 hours** for the plane to travel from New York to Los Angeles with the given conditions.
1. **Effective Speed Calculation**:
The plane's speed increases by the speed of the tailwind:
\[
\text{Effective Speed} = \text{Plane Speed} + \text{Tailwind Speed} = 500 \text{ mph} + 15 \text{ mph} = 515 \text{ mph}
\]
2. **Distance Calculation**:
The approximate distance from New York to Los Angeles is about 2,475 miles.
3. **Travel Time Calculation**:
To find the travel time, we use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substituting in the values:
\[
\text{Time} = \frac{2475 \text{ miles}}{515 \text{ mph}} \approx 4.80 \text{ hours}
\]
Thus, it will take approximately **4.8 hours** for the plane to travel from New York to Los Angeles with the given conditions.