The distance an asteroid travels is directly proportional to the amount of time it travels. If an asteroid travels 112,000 miles in 2 hours, how far will it travel in 24 hours
To solve this problem, we can use a proportion:
distance / time = constant
We can use the first set of data points to find the constant:
112,000 / 2 = 56,000
Now we can use the constant to find how far the asteroid will travel in 24 hours:
distance / time = 56,000
distance / 24 = 56,000
Multiplying both sides by 24, we get:
distance = 56,000 x 24
distance = 1,344,000 miles
Therefore, the asteroid will travel 1,344,000 miles in 24 hours.
To find the distance the asteroid will travel in 24 hours, we can set up a proportion using the given information.
Since the distance traveled is directly proportional to the amount of time traveled, we can write the proportion as follows:
distance / time = constant
Let's denote the distance the asteroid will travel in 24 hours as "d" (in miles) and the time traveled as 24 hours. The distance traveled in 2 hours is given as 112,000 miles.
So, we can set up the proportion as:
112,000 miles / 2 hours = d miles / 24 hours
Now, we can solve for "d":
112,000 miles / 2 hours = d miles / 24 hours
Cross multiplying, we get:
112,000 miles * 24 hours = d miles * 2 hours
2,688,000 miles-hours = 2d miles-hours
We can cancel out the miles-hours on both sides of the equation:
2,688,000 = 2d
Dividing both sides by 2:
d = 1,344,000 miles
Therefore, the asteroid will travel approximately 1,344,000 miles in 24 hours.