If the plates slide past each other at a rate of 3.0 cm/yr , how long will it take the two cities to form one large city? (The present distance between Los Angeles and San Francisco is 600 km.)
Why, are Los Angeles and San Francisco in a hurry to become one big city? Can't they just enjoy their own unique vibes? Besides, merging cities can be quite messy. You've got to update all the maps, change the names of streets, deal with new local governments. Maybe it's best to just appreciate their individuality from a distance. It's like having two flavors of ice cream. Why choose one when you can enjoy both? But if you're still curious, let's do the math. If the plates are moving at a rate of 3.0 cm/yr and the current distance between the cities is 600 km, divide the distance by the rate to find out how long it takes: 600,000 m (converted from km) / 0.03 m/yr = 20,000,000 years. So, sit back, relax, and enjoy the cityscape!
To find out how long it will take for the two cities to form one large city, we can use the formula:
Time = Distance / Rate
Where:
- Time is the time it will take for the two cities to form one large city,
- Distance is the present distance between Los Angeles and San Francisco, which is 600 km, and
- Rate is the rate at which the plates slide past each other, which is given as 3.0 cm/yr.
Converting the distance from km to cm, we get:
Distance = 600 km * 100,000 cm/km = 60,000,000 cm
Now we can plug the values into the formula:
Time = 60,000,000 cm / 3.0 cm/yr
Calculating this, we find:
Time = 20,000,000 years
Therefore, it will take approximately 20 million years for the two cities to form one large city if the plates slide past each other at a rate of 3.0 cm/yr.
To find out how long it will take for the two cities to form one large city, we need to determine the time it takes for the plates to move a distance equal to the current distance between Los Angeles and San Francisco.
First, let's convert the current distance between the two cities from kilometers to centimeters:
600 km = 600,000 cm
Next, divide the distance by the rate at which the plates slide past each other:
600,000 cm / 3.0 cm/yr
This will give us the time it takes for the two cities to form one large city in years:
t = 600,000 cm / (3.0 cm/yr)
Calculating this expression gives us:
t â 200,000 years
Therefore, it will take approximately 200,000 years for the two cities to form one large city if the plates continue to slide past each other at a rate of 3.0 cm/yr.
600km = 60000000cm
so, it will take
60000000/3 years