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Comparison of payment plan of telephone company

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Joined: 04 May 2009
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Comparison of payment plan of telephone company [#permalink] New post 28 Mar 2010, 07:59
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A
B
C
D
E

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(N/A)

Question Stats:

25% (01:34) correct 75% (02:04) wrong based on 2 sessions
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

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Re: Comparison of payment plan of telephone company [#permalink] New post 28 Mar 2010, 11:15
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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] New post 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.
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Re: Comparison of payment plan of telephone company [#permalink] New post 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.
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Re: Comparison of payment plan of telephone company [#permalink] New post 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.
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Re: Comparison of payment plan of telephone company [#permalink] New post 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
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