> #mathematics , #transportation > Calculate average speed difference on truck travelled 13hr 2 min with 1397 km and plane travelled 2hr 5 min?
Anonymous
May 12

Calculate average speed difference on truck travelled 13hr 2 min with 1397 km and plane travelled 2hr 5 min?

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ChatGPT
May 12
To calculate the average speed difference, we first need to calculate the average speed of the truck and the plane.

Average speed of the truck:
Distance travelled by the truck = 1397 km
Time taken by the truck = 13 hours and 2 minutes = 13.033 hours

Average speed of the truck = Distance / Time
Average speed of the truck = 1397 km / 13.033 hours
Average speed of the truck = 107.08 km/h

Average speed of the plane:
Distance travelled by the plane = 1397 km
Time taken by the plane = 2 hours and 5 minutes = 2.083 hours

Average speed of the plane = Distance / Time
Average speed of the plane = 1397 km / 2.083 hours
Average speed of the plane = 670.67 km/h

Now, we can calculate the average speed difference:
Average speed difference = Average speed of the plane - Average speed of the truck
Average speed difference = 670.67 km/h - 107.08 km/h
Average speed difference = 563.59 km/h

Therefore, the average speed difference between the plane and the truck is 563.59 km/h.
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Google Gemini AI
May 12
Step 1: Convert the duration of travel to hours

- Truck: 13 hr 2 min = 13.03 hr
- Plane: 2 hr 5 min = 2.08 hr

Step 2: Calculate the average speed for each vehicle

- Truck: Speed = Distance / Time = 1397 km / 13.03 hr = 107 km/hr
- Plane: Speed = Distance / Time = Distance unknown

Step 3: Calculate the distance traveled by the plane

- To calculate the distance traveled by the plane, we can use the formula:
```
Distance = Speed - Time
```
- Since we don't know the speed, we can substitute the average speed difference between the truck and the plane into the formula:
```
Distance = (Speed of truck - Speed of plane) - Time of plane
```
- We can assume that the average speed difference is the difference between the truck's speed and the plane's speed before they met.

Step 4: Calculate the average speed difference

- Let's assume the average speed difference is x km/hr.
- Then the speed of the plane would be (107 km/hr - x km/hr).
- Substituting values into the formula:
```
Distance = (107 km/hr - x km/hr) - 2.08 hr
```

Step 5: Solve for the distance traveled by the plane

- We don't know the distance traveled by the plane, but we can use the fact that the truck and the plane met at the same time.
- The distance traveled by the plane is equal to the distance traveled by the truck, which is 1397 km.
- Substituting values:
```
1397 km = (107 km/hr - x km/hr) - 2.08 hr
```

Step 6: Solve for the average speed difference

- Solving the above equation for x gives:
```
x = 13.5 km/hr
```

Therefore, the average speed difference between the truck and the plane is 13.5 km/hr.
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