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# m14#31

Author Message
Manager
Joined: 18 Aug 2010
Posts: 88

Kudos [?]: 20 [1], given: 22

### Show Tags

31 Jan 2011, 13:12
1
KUDOS
In the economy mode, a printer prints twice as fast as in the optimal quality mode. If after working for 20 minutes in the optimal quality mode and 40 minutes in the economy mode the printer printed 120 pages, how long would it take the printer to print 120 pages in the optimal quality mode?

(C) 2008 GMAT Club - m14#31

* 35 minutes
* 40 minutes
* 50 minutes
* 1 hour 20 minutes
* 1 hour 40 minutes

guys, im trying to solve with:

2x/40 +x/20 = 1/120
x=1/12

120: 1/12

something is wrong and i cant tell exactly what. Any advice?

am i too much tired????? i cant detect my mistake

Kudos [?]: 20 [1], given: 22

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132642 [0], given: 12326

### Show Tags

31 Jan 2011, 13:32
tinki wrote:
In the economy mode, a printer prints twice as fast as in the optimal quality mode. If after working for 20 minutes in the optimal quality mode and 40 minutes in the economy mode the printer printed 120 pages, how long would it take the printer to print 120 pages in the optimal quality mode?

(C) 2008 GMAT Club - m14#31

* 35 minutes
* 40 minutes
* 50 minutes
* 1 hour 20 minutes
* 1 hour 40 minutes

guys, im trying to solve with:

2x/40 +x/20 = 1/120
x=1/12

120: 1/12

something is wrong and i cant tell exactly what. Any advice?

am i too much tired????? i cant detect my mistake

Optimal mode - x pages per minute;
Economy mode - 2x pages per minute;

Given: 20*x+40*2x=120 --> x=1.2 --> to print 120 pages in optimal mode printer will need 120/1.2=100 minutes = 1 hour 40 minutes.

_________________

Kudos [?]: 132642 [0], given: 12326

Manager
Joined: 18 Aug 2010
Posts: 88

Kudos [?]: 20 [0], given: 22

### Show Tags

31 Jan 2011, 13:43
Bunuel wrote:
tinki wrote:
In the economy mode, a printer prints twice as fast as in the optimal quality mode. If after working for 20 minutes in the optimal quality mode and 40 minutes in the economy mode the printer printed 120 pages, how long would it take the printer to print 120 pages in the optimal quality mode?

(C) 2008 GMAT Club - m14#31

* 35 minutes
* 40 minutes
* 50 minutes
* 1 hour 20 minutes
* 1 hour 40 minutes

guys, im trying to solve with:

2x/40 +x/20 = 1/120
x=1/12

120: 1/12

something is wrong and i cant tell exactly what. Any advice?

am i too much tired????? i cant detect my mistake

Optimal mode - x pages per minute;
Economy mode - 2x pages per minute;

Given: 20*x+40*2x=120 --> x=1.2 --> to print 120 pages in optimal mode printer will need 120/1.2=100 minutes = 1 hour 40 minutes.

THANKS

Kudos [?]: 20 [0], given: 22

Re: m14#31   [#permalink] 31 Jan 2011, 13:43
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# m14#31

Moderator: Bunuel

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