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# If John produces n units of an item in t hours, what is the value of n

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If John produces n units of an item in t hours, what is the value of n  [#permalink]

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Updated on: 23 Sep 2018, 04:10
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39% (02:39) correct 61% (01:58) wrong based on 88 sessions

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If John produces n units of an item in t hours, what is the value of n?

(1) If John produces 4 more items per hour, he would take $$\frac{1}{4}$$ lesser time to produce n units of the item.

(2) If John increases his rate of production by 25 percent, the time taken by him to produce n items would be 80 percent of the original time.

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Originally posted by GmatDaddy on 23 Sep 2018, 03:25.
Last edited by Bunuel on 23 Sep 2018, 04:10, edited 1 time in total.
Renamed the topic.
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: If John produces n units of an item in t hours, what is the value of n  [#permalink]

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23 Sep 2018, 11:10
1
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If John produces n units of an item in t hours, what is the value of n?

(1) If John produces 4 more items per hour, he would take $$\frac{1}{4}$$ lesser time to produce n units of the item.
Let X be produced every hour, so xt=n
Now X+4 being produced each hour, time reduces by t/4, so (X+4)*3t/4=n
So xt=(x+4)*3t/4.......x=(x+4)*3/4......x=12
Insufficient

(2) If John increases his rate of production by 25 percent, the time taken by him to produce n items would be 80 percent of the original time.
This would be the case always..
xbecomes 1.25x, time will become 0.8t to make same number of units.
1.25x*0.8t=xt=n
Insufficient

Combined
Statement II does not get anything new info..
And statement I is not sufficient
Insufficient

E
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Re: If John produces n units of an item in t hours, what is the value of n  [#permalink]

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25 Sep 2018, 04:33
If John produces n units of an item in t hours, what is the value of n?

(1) If John produces 4 more items per hour, he would take $$\frac{1}{4}$$ lesser time to produce n units of the item.

(2) If John increases his rate of production by 25 percent, the time taken by him to produce n items would be 80 percent of the original time.

Statement 1: The equation becomes
((n/t)+4)/(n/t)= t/4
We cannot find n without the value of t.
Insufficient
Statement 2:
4/5 t= 80/100 t
Does not tell us anything
Insufficient
Statement 1 and 2 together does not say anything new.
E
Re: If John produces n units of an item in t hours, what is the value of n   [#permalink] 25 Sep 2018, 04:33
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