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# The cost of a phone call is x cents/min for the first 5 minutes and

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Math Expert
Joined: 02 Sep 2009
Posts: 61385
The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 02:32
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Difficulty:

65% (hard)

Question Stats:

48% (02:21) correct 52% (01:58) wrong based on 52 sessions

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The cost of a phone call is x cents/min for the first 5 minutes and x/2 cents for every additional minute.If Jack paid \$1 for a phone call,for how long did he talk?

(1) If he had spoken for another minute,he would have paid 10 cents more
(2) If he had spoken for one minute fewer,he would have paid 20 cents fewer.

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Joined: 16 Feb 2015
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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 03:11
1
Bunuel wrote:
The cost of a phone call is x cents/min for the first 5 minutes and x/2 cents for every additional minute.If Jack paid \$1 for a phone call,for how long did he talk?

(1) If he had spoken for another minute,he would have paid 10 cents more
(2) If he had spoken for one minute fewer,he would have paid 20 cents fewer.

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Explanation: Statement 1: If he had spoken for another minute, he would have paid 10 cents more.
So, He total paid 1.1 Dollars, But we got X/2=10
X=20.
therefore he talked for 6 minutes.
Sufficient.

Statement 2: If he had spoken for one minute fewer, he would have paid 20 cents fewer.
As we cannot make any from this statement about total timings of talk.
Insufficient

Please provide kudos, if you find my explanation good enough
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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 08:49
1
Rajat,

Got my mistake.

“ first statement clearly shows the time is greater than 5 min because if x=10 then 10 * 5 min. can not give 100 cents”

So x = 20 and x/2=10

Second statement shows that if x=20 then x/2 =10

And
20* 5 min = 100 so time is 5 min. And also satisfies equation 2

And if x/2= 20 then. x =40
40* 2.5= 100 which is not possible because it will not full fill second statement

So answer is D

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Manager
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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 06:26
Hi Rajat,

How did you assume that total time for 1 \$ is 5 min.
It can be less than 5 min or more than 5 min also.
Two diff values for x for this scenario.

I think answer would be C because we are getting shift in value with both statements from x to x/2

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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 07:39
Dear Sach24×7,

As given in 1st statement, if he had talked for 1more minute, he paid 10 scents extra. So we know cost of extra minutes talking. So X/2 = 10 scents.
So X will be 20 scents.

Cost for first 5 minutes is 1 dollar. (Given initially)
So A is sufficient.

That is my understanding

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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 07:46
Explanation: Statement 1: If he had spoken for another minute, he would have paid 10 cents more.
So, He total paid 1.1 Dollars, But we got X/2=10
X=20.
therefore he talked for 6 minutes.
Sufficient.

Statement 2: If he had spoken for one minute fewer, he would have paid 20 cents fewer.
As we cannot make any from this statement about total timings of talk.
Insufficient

Senior Manager
Joined: 16 Feb 2015
Posts: 355
Location: United States
Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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21 Nov 2019, 08:56
sach24x7 wrote:
Rajat,

Got my mistake.

“ first statement clearly shows the time is greater than 5 min because if x=10 then 10 * 5 min. can not give 100 cents”

So x = 20 and x/2=10

Second statement shows that if x=20 then x/2 =10

And
20* 5 min = 100 so time is 5 min. And also satisfies equation 2

And if x/2= 20 then. x =40
40* 2.5= 100 which is not possible because it will not full fill second statement

So answer is D

Posted from my mobile device

How ????

See, In statement 2, we cannot define Fewer, as X/2=20 or X=20.
as we don't know how many minutes he had talked. In statement, it clearly told 1 minute fewer.
Hope you understand my point.

Please give kudos, if you got it!!!
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Joined: 05 Nov 2015
Posts: 14
The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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07 Jan 2020, 23:05
Bunuel @chetan4u In st 1 It is said 1 min more So, X/2=10 or X= 20 So he has spoken for 6 mins according to St 1.

But in St 2 it is said 1 Min fewer now this 1 minute few it can either be less than 5 min or additional 1 min less.
So it cannot be decided how many minutes he has talked over phn. So it is insufficient...

Let say extra min be y So equation is either 4X=80 So X= 20
or
5X+(y-1)X/2= 80
5X +(YX/2)-X/2=80
100-(X/2)=80 (Intially given cost of call is 1 Dollar=100 cent)
X=40
hence clearly indecisive.

Hence answer is A.

The cost of a phone call is x cents/min for the first 5 minutes and   [#permalink] 07 Jan 2020, 23:05
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# The cost of a phone call is x cents/min for the first 5 minutes and

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