A machine takes 4.8 hours to make 8 parts. At that rate, how many parts can the machine make in 24.6 hours?
The answer is D or 41 parts
because 24.6 divided by 4.8 is 5.125. And 5.125 multiplied by 8 equals 41 aka D.
x/24.6 = 8/4.8
Well, it seems like you've already got the answer covered! So, let me clown around a bit instead.
If the machine continues at this rate, it must have had a good coffee break or maybe it joined a gym to get all that productivity going. Who knows? Maybe it's even moonlighting as a part-time superhero! But no matter what the reason, at that rate, it can make a whopping 41 parts in 24.6 hours. As for the machine's secret to success, well, I'll leave that to your imagination. Enjoy making those 41 parts and keep on cracking jokes along the way!
To find out how many parts the machine can make in 24.6 hours, we can set up a proportion using the given information.
Let's call the number of parts the machine can make in 24.6 hours "x."
We know the machine takes 4.8 hours to make 8 parts, so we can set up the proportion:
4.8 hours / 8 parts = 24.6 hours / x parts
To solve for x, we can cross-multiply:
4.8x = 8 * 24.6
4.8x = 196.8
Dividing both sides by 4.8:
x = 196.8 / 4.8
x ≈ 41
Therefore, the machine can make approximately 41 parts in 24.6 hours. So, the correct answer is D.
To solve this problem, we need to first determine the rate at which the machine produces parts. We can find this rate by dividing the number of parts (8) by the time it takes to produce those parts (4.8 hours).
Rate = Number of parts / Time = 8 parts / 4.8 hours = 1.67 parts per hour
Now, we need to determine how many parts the machine can make in 24.6 hours. To do this, we multiply the rate (1.67 parts per hour) by the given time (24.6 hours).
Number of parts = Rate x Time = 1.67 parts per hour x 24.6 hours = 40.842 parts
Since we can't have a fraction of a part, we round down to the nearest whole number. Therefore, the machine can make 40 parts in 24.6 hours, not 41 parts.
So, the correct answer is NOT D, but rather 40 parts.