A factory can assemble 3,400 Ipods in an 8-hour shift. If the factory were to work around the clock, how long would it take them to assemble 100,000 Ipods?
If a factory can assemble 3400 ipods in an 8 hour shift, it will take the factory x hours to assemble 100,000ipods where x is the time taken by the factory to assemble 100000ipods.
ipods/hour = 3400/8 = number of hours = 425 ipods/hour
425 ipods / hour * h hours = 100,000
h = 100,000/425 = 235.3 hours which is 235.3 / 24 = 9.8 or about ten days
or, as a proportion,
x/100000 = 8/ 3400
if they only work one 8-hour shift per day, then it will take 3 times as long, or 29.4 days
To find out how long it would take the factory to assemble 100,000 iPods, we can set up a proportion using the information provided.
Let's set up the proportion:
3,400 iPods / 8 hours = 100,000 iPods / x hours
To solve for x, we need to cross-multiply:
3,400 * x = 8 * 100,000
Now, we can divide both sides by 3,400 to solve for x:
x = (8 * 100,000) / 3,400
Simplifying the equation gives us:
x = 235.29 hours
Therefore, it would take approximately 235.29 hours for the factory to assemble 100,000 iPods if they were to work around the clock.