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Answer :
Alright, lets get started.
The trip takes 13 hours for a car moving at 68 mph.
We could find the distance between both cities with help of this.
Distance = time * speed
Distance = 13 * 68 = 884 miles
Means the distance between both cities = 884 miles
Now if the trip takes 17 hours, we need to find new speed.
For finding this new speed, one thing that not changed is, distance between two cities that is 884 miles.
Speed = distance / time
Speed = 884 / 17
Speed = 52 miles / hr
Hence, the speed of the car is 52 miles / hr : Answer
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Final answer:
The speed of the car that makes the trip in 17 hours is approximately 51.94 mph.
Explanation:
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. This means that as the speed of the car increases, the time it takes to cover the distance decreases, and vice versa. To find the speed of a car that makes the trip in 17 hours, we can set up an inverse variation equation using the given information:
time = k/speed
where k is a constant. Plugging in the values we know, we have:
- 13 = k/68 (using the given information)
- k = 13 * 68 (solving for k)
- k = 884
- 17 = 884/speed (using the given time of 17 hours)
- speed = 884/17
- speed ≈ 51.94 mph
Learn more about Inverse Variation here:
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