A gear rotates 60 times every 25 min. How many times will it rotate in 10 min?
To determine the number of rotations in 10 minutes, we need to find the ratio of rotations to time in the given situation.
The gear rotates 60 times every 25 minutes.
So, the gear rotates $\frac{60}{25}$ times every minute.
Now, we need to find the number of rotations in 10 minutes.
Number of rotations in 10 minutes = $\frac{60}{25} \times 10$
Simplifying, we have:
Number of rotations in 10 minutes = $2 \times 10 = \boxed{20}$
Therefore, the gear will rotate 20 times in 10 minutes.
To find out how many times the gear will rotate in 10 minutes, we can set up a proportion using the given information.
We know that the gear rotates 60 times every 25 minutes.
So, we can set up the ratio:
60 rotations / 25 minutes = x rotations / 10 minutes
To solve for x, we can cross multiply and then divide:
60 * 10 = 25 * x
600 = 25x
Dividing both sides by 25:
600 / 25 = x
24 = x
Therefore, the gear will rotate 24 times in 10 minutes.
To find the number of rotations of the gear in 10 minutes, we can use a proportion.
Let's set up the proportion based on the given information:
60 rotations / 25 minutes = x rotations / 10 minutes
To solve for x (the desired number of rotations in 10 minutes), we can cross-multiply and then divide:
(60 rotations) * (10 minutes) = (25 minutes) * (x rotations)
600 rotations = 25x
Dividing both sides of the equation by 25:
600 rotations / 25 = 25x / 25
24 rotations = x
Therefore, the gear will rotate 24 times in 10 minutes.