Answer:
The answer is 235.29hours
Step-by-step explanation:
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.
3400ipods = 8hours
100000ipods = x hours
Cross multiplying;
3400×x = 8×100000
3400x = 800000
x = 800000/3400
x = 235.29hours
It will take 235.29 hours to assemble 100000ipods
The time it will take to assemble 100000 ipods is 235.288 hours approx.
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
Now, for this situation, we are given that:
3400 ipods are assembled in 8 hours
We need to find the time it will take to assemble 100000 pods.
Dividing 100000 in groups of 3400, we get the number of such groups as: [tex]100000 \div 3400 \approx 29.411[/tex]
Each group takes 8 hours, so 29.411 groups will take:
[tex]29.411 \times 8 = 235.288 \: \rm hours[/tex]
Thus, the time it will take to assemble 100000 ipods is 235.288 hours approx.
Learn more about division here:
https://brainly.com/question/26411682
