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Listed above are the rates for operatorassisted telephone calls from S

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Bunuel
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Listed above are the rates for operatorassisted telephone calls from S [#permalink] New post   31 Jan 2016, 08:15
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75% (hard)

Question Stats:

46% (02:41) correct 54% (02:48) wrong based on 52 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

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2016-01-31_1914.png
2016-01-31_1914.png [ 15.58 KiB | Viewed 2215 times ]
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chetan2u
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Re: Listed above are the rates for operatorassisted telephone calls from S [#permalink] New post   01 Feb 2016, 09:33
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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

Show Spoiler
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..
answer = 23+1=24 minutes..
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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OptimusPrepJanielle
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Re: Listed above are the rates for operatorassisted telephone calls from S [#permalink] New post   31 Jan 2016, 21:45
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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

Show Spoiler
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
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TheNightKing
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Re: Listed above are the rates for operatorassisted telephone calls from S [#permalink] New post   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

Show Spoiler
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..
answer = 23+1=24 minutes..
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!
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chetan2u
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Re: Listed above are the rates for operatorassisted telephone calls from S [#permalink] New post   04 Oct 2019, 20:35
Expert Reply
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

Show Spoiler
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..
answer = 23+1=24 minutes..
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. :please :)
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Re: Listed above are the rates for operatorassisted telephone calls from S [#permalink]
04 Oct 2019, 20:35
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