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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: 58400
Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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31 Jan 2016, 08:15
00:00

Difficulty:

85% (hard)

Question Stats:

46% (02:39) correct 54% (02:55) wrong based on 39 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 1217 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7958
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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01 Feb 2016, 09:33
2
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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Joined: 06 Nov 2014
Posts: 1873
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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31 Jan 2016, 21:45
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
Director
Joined: 18 Dec 2017
Posts: 503
Location: United States (KS)
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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04 Oct 2019, 16:40
chetan2u wrote:
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

Hi chetan2u, This is my first tag to you. So Hello and I hope you're doing good

I did solve this question in the exact same approach. But I did not round down the value and instead I round up. Since He was charged more than .46\$ I assumed we need to count the extra cents for the next minute. So I marked C as the answer.

I guess it makes sense to consider it as 24minutes because the amount does not cross the next .46\$ but I guess I just missed it

Thank you!
_________________
“Practice is the hardest part of learning, and training is the essence of transformation.” ― Ann Voskamp
Software Tester currently in USA ( )
Math Expert
Joined: 02 Aug 2009
Posts: 7958
Re: Listed above are the rates for operatorassisted telephone calls from S  [#permalink]

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04 Oct 2019, 20:35
TheNightKing wrote:
chetan2u wrote:
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

Hi chetan2u, This is my first tag to you. So Hello and I hope you're doing good

I did solve this question in the exact same approach. But I did not round down the value and instead I round up. Since He was charged more than .46\$ I assumed we need to count the extra cents for the next minute. So I marked C as the answer.

I guess it makes sense to consider it as 24minutes because the amount does not cross the next .46\$ but I guess I just missed it

Thank you!

Thanks a lot!
I am doing great and hope you too are in the best of health and mind.
_________________
Re: Listed above are the rates for operatorassisted telephone calls from S   [#permalink] 04 Oct 2019, 20:35
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