Comparison of payment plan of telephone company : GMAT Problem Solving (PS)
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# Comparison of payment plan of telephone company

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Manager
Joined: 04 May 2009
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Location: London
Schools: Haas (WL), Kellogg (matricultating), Stanford (R2, ding), Columbia (ding)
WE 1: 3 years hotel industry sales and marketing France
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Comparison of payment plan of telephone company [#permalink]

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28 Mar 2010, 07:59
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25% (01:34) correct 75% (02:04) wrong based on 4 sessions

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That problem seemed easy but never figured the correct answer, not even with solution provided.... help!

A telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.90 for the first 7 minutes and$0-06 per min thereafter. Under plan B, the company charges $0.08 per min of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? A: 2 B: 9 C:15 D:21 E:30 [Reveal] Spoiler: OA = B _________________ Yes I can! Manhattan GMAT Instructor Joined: 27 Aug 2009 Posts: 153 Location: St. Louis, MO Schools: Cornell (Bach. of Sci.), UCLA Anderson (MBA) Followers: 184 Kudos [?]: 407 [1] , given: 6 Re: Comparison of payment plan of telephone company [#permalink] ### Show Tags 28 Mar 2010, 11:15 1 This post received KUDOS I think this problem has a typo. If you can, go back to the original GMATPrep screen to verify. If the answer is as given, I think the problem would have to read "A telephone company offers two plans, A and B. Under plan A, the company charges a total of$0.60 for the first 7 minutes and $0.06 per min thereafter. Under plan B, the company charges$0.08 per min of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?"

For the problem as written above, I get 24 as the answer. The equation (amounts in cents, for ease of calculation) is 90 + 6(x-7) = 8x, where x is the number of minutes.

90 + 6x - 42 = 8x
48 = 2x
x = 24
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Re: Comparison of payment plan of telephone company [#permalink]

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28 Mar 2010, 21:30
nifoui wrote:
That problem seemed easy but never figured the correct answer, not even with solution provided.... help!

A telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.90 for the first 7 minutes and$0-06 per min thereafter. Under plan B, the company charges $0.08 per min of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? A: 2 B: 9 C:15 D:21 E:30 [Reveal] Spoiler: OA = B x - number of minutes for a call 0.9 + .06(x-7) = 0.08x 0.02x = 0.48 x=24 which is not answer choice, please confirm the question or answer choices. Intern Joined: 23 Feb 2010 Posts: 14 Followers: 0 Kudos [?]: 6 [0], given: 0 Re: Comparison of payment plan of telephone company [#permalink] ### Show Tags 28 Mar 2010, 22:23 I defined the variable a little differently because I find I make more mistakes when I subtract than add (for whatever reason). I set "x" to be the number of minutes after the first 7 (which assumed the call would be more than 7 minutes but I figured that was a safe assumption for the question). 0.9 + 0.06x = 0.08(x+7) 0.02x = 0.34 x = 17 Add the first 7 minutes: 17 + 7 = 24 minutes. Something's off with the question/answer set, just wanted to add a different way to define the variable. Intern Joined: 03 Sep 2010 Posts: 2 Followers: 0 Kudos [?]: 0 [0], given: 1 Re: Comparison of payment plan of telephone company [#permalink] ### Show Tags 08 Oct 2010, 20:18 Hi, Lets take the money in cents and minutes as M. then 60+(M-7)6=8M i.e 60+6M-42=8M 2M=18 and hence M=9 So the answer is 9 Minutes. Even i got this wrong in the test,But taking my time and solving this helped figure out the solution. Intern Joined: 12 Oct 2010 Posts: 15 Schools: Broad, McCombs Followers: 1 Kudos [?]: 3 [0], given: 11 Re: Comparison of payment plan of telephone company [#permalink] ### Show Tags 12 Oct 2010, 12:39 srihariom wrote: Hi, Lets take the money in cents and minutes as M. then 60+(M-7)6=8M i.e 60+6M-42=8M 2M=18 and hence M=9 So the answer is 9 Minutes. Even i got this wrong in the test,But taking my time and solving this helped figure out the solution. But they charge$.90 for the first 7 minutes, not $.06 So taking it in cents would be 90+(M-7)6=8M, right? Re: Comparison of payment plan of telephone company [#permalink] 12 Oct 2010, 12:39 Similar topics Replies Last post Similar Topics: 1 If all of the telephone extensions in a certain company must be even 6 23 Nov 2015, 11:42 Telephone Company X's monthly charge 1 29 Nov 2012, 08:50 7 A certain telephone company offers two plans, A and B. Under 16 30 Jan 2012, 01:19 19 A telephone company needs to create a set of 3-digit area 17 07 Feb 2008, 12:02 Q. On a purchase of$120, a store offered a payment plan 8 05 Feb 2007, 21:08
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