Calculate average speed difference on truck travelled 13hr 2 min with 1397 km and plane travelled 2hr 5 min?
1 view
1 view
2
answers
Sort By
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.
0
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.