If it is assumed that each of the n production workers in a

[Saurabh Malpani]

Can Someone help me to Solve this following problem without usuing VIC/plugging in number.---for some reason I can't solve this without the VIC apporach

If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?
(A) 450 n/t
B) (450 t)/n
c) 450nt
d) (7.5 tn)/60
e) 7.5n/60

Source is: GMAC Test code 48


Saurabh Malpani[/b]

[kivatte]

If n workers produce 1 item in t minutes => n workers produce 1/t items in one minute.
In 7.5 hours, they will produce=>n * 7.5*60 * (1/t) = 450n/t

Let me know if that is not the correct answer.

Thanks

[Guest]

If n workers produce 1 item in t minutes => n workers produce 1/t items in one minute.
In 7.5 hours, they will produce=>n * 7.5*60 * (1/t) = 450n/t

Let me know if that is not the correct answer.

Thanks

Sorry I am not clear with the solution.

Ok I get the first part :n workers produce 1/t items in one minute.

I don't get how can you multiply n * 7.5*60 * (1/t)----> Iam not ableto get the n in the equation.

[shaji]

If n workers produce 1 item in t minutes => n workers produce 1/t items in one minute.
In 7.5 hours, they will produce=>n * 7.5*60 * (1/t) = 450n/t

Let me know if that is not the correct answer.

Thanks

U R CORRECT!!!!

[jenwindy]

testing

[jenwindy]

It might be easier to think of it like this:

One worker can make 1 item in t minutes. Therefore in 7.5 hours, the one worker can produce the following number of items:

1 item 60 minutes 7.5 hours 450
___ x _______________ x = _____________

t minutes 1 hour t



(Basically, what I did was find the relationship between hours & minutes -- and cancel them out of the equation since both are in the numerator and denominator)


Now, if 1 worker can produce 450 / t items, then 4 workers can produce:

4 workers x 450
____

t


This is the same as:

n x 450 450 n
____ or _______ CORRECT ANSWER: A
t t


Did that make sense? Hope it helps!

Jeni

[Guest]

Previous post is hard to read because the website automatically reformatted my typing. THIS VERSION IS EASIER TO READ.


It might be easier to think of it like this:

One worker can make 1 item in t minutes. Therefore in 7.5 hours, the one worker can produce the following number of items:


( 1 item / t minutes) x ( 60 minutes / 1 hour ) x 7.5 hours = 450 / t


(Basically, what I did was find the relationship between hours & minutes -- and cancel them out of the equation since both are in the numerator and denominator)


Now, if 1 worker can produce 450 / t items, then 4 workers can produce:

4 workers x ( 450 / t )


Since there are n workers, the factory can make:

n workers x ( 450 / t ) items


This is the same as: ( 450 n )/ t


CORRECT ANSWER: A



Did that make sense? Hope it helps!

Jeni

[brian]

Thanks Jeni!

-Brian Lange
Instructor & Forum Moderator