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# Listed above are the rates for operatorassisted telephone calls from S

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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31 Jan 2016, 07:15
00:00

Difficulty:

65% (hard)

Question Stats:

53% (02:38) correct 47% (03:06) wrong based on 26 sessions

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Listed above are the rates for operator-assisted telephone calls from San Diego to New York City. On a Friday at 4:17 p.m., Mr. Talbot made a person to-person phone call from San Diego to New York City. When he received his monthly phone bill, Mr. Talbot noted that this call cost \$14.09. To the nearest minute, how long did this call last?

A. 23
B. 24
C. 25
D. 26
E. 27

Attachment:

2016-01-31_1914.png [ 15.58 KiB | Viewed 993 times ]

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Joined: 06 Nov 2014
Posts: 1877
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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31 Jan 2016, 20:45
1
Bunuel wrote:

Listed above are the rates for operator-assisted telephone calls from San Diego to New York City. On a Friday at 4:17 p.m., Mr. Talbot made a person to-person phone call from San Diego to New York City. When he received his monthly phone bill, Mr. Talbot noted that this call cost \$14.09. To the nearest minute, how long did this call last?

A. 23
B. 24
C. 25
D. 26
E. 27

Attachment:
2016-01-31_1914.png

The values given here indicate that we need to do some calculations here:
Mr Talbot made a person to person call at 4:17 PM on a Friday, hence we need to find the value accordingly from the table.
This takes us to column 1.

Let us assume the total duration of the call to be x minutes
Total call Charges = 4.35 + (x-3)*0.46 = 4.35 + 0.46x - 1.38 = 2.97 + 0.46x
This value = 14.09

Hence,
2.97 + 0.46x = 14.09
x = 24.391

Converting to the nearest minute, Option B
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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01 Feb 2016, 08:33
1
Bunuel wrote:

Listed above are the rates for operator-assisted telephone calls from San Diego to New York City. On a Friday at 4:17 p.m., Mr. Talbot made a person to-person phone call from San Diego to New York City. When he received his monthly phone bill, Mr. Talbot noted that this call cost \$14.09. To the nearest minute, how long did this call last?

A. 23
B. 24
C. 25
D. 26
E. 27

Attachment:
2016-01-31_1914.png

Hi,
The Q clearly asks for intensive calculations as shown in above reply..
Quote:
2.97 + 0.46x = 14.09
x = 24.391
..

I would recommend a slightly easier and lesser error prone method of calculations as it will not include div by .46 etc..

first three minutes= 4.35 and there after .46 per minute..
let me break 14.09..

bill beyond three minutes=14.09-4.35=9.74..
when you look at .46, we should realize 20 times that amount is 9.2..
so he could have spoken for 20 minutes more easily..

so after 3+20=23 minutes, money left=9.74-9.2=.54..
.54 is clearly very close to .46, so another minute..
B..

NOTE:- method is same but by breaking into minutes, it becomes much simpler, avoiding div by numbers of the shape of .46
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Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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16 Oct 2018, 07:39
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Re: Listed above are the rates for operatorassisted telephone calls from S   [#permalink] 16 Oct 2018, 07:39
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