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

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

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New post 21 Nov 2019, 03:32
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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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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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New post 21 Nov 2019, 04:11
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

Answer is A.

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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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New post 21 Nov 2019, 07:26
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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New post 21 Nov 2019, 08:39
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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New post 21 Nov 2019, 08:46
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

Answer is A.
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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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New post 21 Nov 2019, 09:49
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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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Re: The cost of a phone call is x cents/min for the first 5 minutes and  [#permalink]

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New post 21 Nov 2019, 09:56
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

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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.

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Re: The cost of a phone call is x cents/min for the first 5 minutes and   [#permalink] 21 Nov 2019, 09:56
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