Question 8 options:
Solve this problem.
The Nautile, a French submarine, can dive to a depth of 20,000 feet. It takes 20 hours to dive to the maximum depth at the speed of x feet per hour. How fast must the Nautile dive to reach the maximum depth?
Blank Space__________feet per hour
Blank Space needs to be filled with the number of feet per hour that the Nautile must dive to reach the maximum depth. This can be found by dividing the maximum depth (20,000 feet) by the time it takes to reach that depth (20 hours).
So Blank Space should be filled with:
20,000 feet / 20 hours = 1,000 feet per hour
Therefore, the Nautile must dive at a speed of 1,000 feet per hour to reach the maximum depth.
To solve this problem, we need to use the given information to find the speed at which the Nautile must dive to reach the maximum depth.
Let's assume the speed at which the Nautile must dive is represented by the variable 'x' (in feet per hour).
According to the problem, it takes 20 hours for the Nautile to dive to a maximum depth of 20,000 feet. Therefore, we can set up the equation:
20 hours * x feet per hour = 20,000 feet
To solve for 'x', we divide both sides of the equation by 20 hours:
x feet per hour = 20,000 feet ÷ 20 hours
Simplifying:
x feet per hour = 1000 feet per hour
Therefore, the Nautile must dive at a speed of 1000 feet per hour to reach the maximum depth of 20,000 feet.
To find the speed at which the Nautile must dive to reach the maximum depth, we can set up a proportion between the distance and time:
Distance traveled = Rate * Time
In this case, the distance traveled is 20,000 feet, and the time taken is 20 hours. Let's represent the speed as x feet per hour.
So, the equation becomes:
20,000 = x * 20
To solve for x, we can divide both sides of the equation by 20:
20,000 / 20 = x
Simplifying the equation gives:
1,000 = x
Therefore, the Nautile must dive at a speed of 1,000 feet per hour to reach the maximum depth.