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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: 58435
How long will it take machine M to fill an order for x widgets if the  [#permalink]

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19 Feb 2018, 23:20
2
5
00:00

Difficulty:

25% (medium)

Question Stats:

67% (01:07) correct 33% (01:14) wrong based on 210 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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Current Student
Joined: 07 Jan 2016
Posts: 1088
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, 03:38
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: 7977
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, 03:59
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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Re: How long will it take machine M to fill an order for x widgets if the   [#permalink] 14 Oct 2018, 03:59
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