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Yesterday Diana spent a total of 240 minutes attending a

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Yesterday Diana spent a total of 240 minutes attending a [#permalink] New post 07 Sep 2010, 15:37
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Yesterday Diana spent a total of 240 minutes attending a training class, responding to E-
mails, and talking on the phone. If she did no two of these three activities at the same
time, how much time did she spend talking on the phone?
(1) Yesterday the amount of time that Diana spent attending the training class was
90 percent of the amount of time that she spent responding to E-mails.
(2) Yesterday the amount of time that Diana spent attending the training class was
60 percent of the total amount of time that she spent responding to E-mails and
talking on the phone.
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Re: algebra [#permalink] New post 07 Sep 2010, 15:48
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mehdiov wrote:
Yesterday Diana spent a total of 240 minutes attending a training class, responding to E-
mails, and talking on the phone. If she did no two of these three activities at the same
time, how much time did she spend talking on the phone?
(1) Yesterday the amount of time that Diana spent attending the training class was
90 percent of the amount of time that she spent responding to E-mails.
(2) Yesterday the amount of time that Diana spent attending the training class was
60 percent of the total amount of time that she spent responding to E-mails and
talking on the phone.


Given: C+E+P=240, where C is th time she spent on training class, E is the time she spent on E-mail and P is the time she spent on phone. Question: P=?

(1) C=0.9E --> C+E+P=0.9E+E+P=1.9E+P=240. Not sufficient to calculate P (one equation, two variables).

(2) C=0.6(E+P) --> C+E+P=0.6(E+P)+E+P=1.6E+1.6P=240. Not sufficient to calculate P (one equation, two variables).

(1)+(2) 1.9E+P=240 and 1.6E+1.6P=240 --> we have two distinct linear equations with two variables hence we can calculate each of them. Sufficient.

Answer: C.
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Diana spent a total of 240 minutes [#permalink] New post 05 Dec 2010, 14:22
Yesterday Diana spent a total of 240 minutes attending a training class, responding to E-mails, and talking on the phone. If she did no two of these three activities at the same time, how much time did she spend talking on the phone?
(1) Yesterday the amount of time that Diana spent attending the training class was 90 percent of the amount of time that she spent responding to E-mails.
(2) Yesterday the amount of time that Diana spent attending the training class was 60 percent of the total amount of time that she spent responding to E-mails and talking on the phone.
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Re: Diana spent a total of 240 minutes [#permalink] New post 05 Dec 2010, 14:30
Merging similar topics.
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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: Diana spent a total of 240 minutes   [#permalink] 05 Dec 2010, 14:30
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