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# How long will it take machine M to fill an order for x widgets if the

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
How long will it take machine M to fill an order for x widgets if the  [#permalink]

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19 Feb 2018, 22:20
2
4
00:00

Difficulty:

25% (medium)

Question Stats:

68% (01:09) correct 32% (01:15) wrong based on 187 sessions

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How long will it take machine M to fill an order for x widgets if the machine operates at a constant rate and operation is not interrupted?

(1) The machine produces 150 widgets per minute.

(2) At the end of 2 hours, the machine has produced 40% of the widgets needed to fill the order.

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BSchool Forum Moderator
Joined: 07 Jan 2016
Posts: 938
Location: India
GMAT 1: 710 Q49 V36
Re: How long will it take machine M to fill an order for x widgets if the  [#permalink]

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20 Feb 2018, 02:38
Bunuel wrote:
How long will it take machine M to fill an order for x widgets if the machine operates at a constant rate and operation is not interrupted?

(1) The machine produces 150 widgets per minute.

(2) At the end of 2 hours, the machine has produced 40% of the widgets needed to fill the order.

Statement a gives no information about quantity of X widgets - insufficient

Statement b states that 40% of x is completed in 2 hrs and the question asked is about time and it's stated that he machine operates at a constant rate and operation is not interrupted

sufficient

(B) imo
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: How long will it take machine M to fill an order for x widgets if the  [#permalink]

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14 Oct 2018, 02:59
Bunuel wrote:
How long will it take machine M to fill an order for x widgets if the machine operates at a constant rate and operation is not interrupted?

(1) The machine produces 150 widgets per minute.

(2) At the end of 2 hours, the machine has produced 40% of the widgets needed to fill the order.

Responding to a PM..

Information given
1. Constant rate
2. x widgets

(1) The machine produces 150 widgets per minute.
So we know the speed but nothing about X
Insufficient

(2) At the end of 2 hours, the machine has produced 40% of the widgets needed to fill the order.
So in 2 hrs, work done = $$x*\frac{40}{100}$$=0.4x
Thus 0.4x is produced in 2 hrs
So x in $$\frac{2}{0.4}$$=5 hrs
Sufficient

B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: How long will it take machine M to fill an order for x widgets if the   [#permalink] 14 Oct 2018, 02:59
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