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For telephone calls between two particular cities, a telephone company

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For telephone calls between two particular cities, a telephone company [#permalink]

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New post 25 May 2017, 14:42
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Question Stats:

83% (01:10) correct 17% (01:21) wrong based on 54 sessions

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For telephone calls between two particular cities, a telephone company charges $0.40 per minute if the calls are placed between 5:00 a.m. and 9:00 p.m. and $0.25 per minute if the calls are placed between 9:00 p.m. and 5:00 a.m. If the charge for a call between the two cities placed at 1:00 p.m. was $10.00, how much would a call of the same duration have cost if it had been placed at 11.00 p.m.?

(A) $3.75

(B) $6.25

(C) $9.85

(D) $10.00

(E) $16.00
[Reveal] Spoiler: OA

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Re: For telephone calls between two particular cities, a telephone company [#permalink]

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New post 25 May 2017, 15:22
carcass wrote:
For telephone calls between two particular cities, a telephone company charges $0.40 per minute if the calls are placed between 5:00 a.m. and 9:00 p.m. and $0.25 per minute if the calls are placed between 9:00 p.m. and 5:00 a.m. If the charge for a call between the two cities placed at 1:00 p.m. was $10.00, how much would a call of the same duration have cost if it had been placed at 11.00 p.m.?

(A) $3.75

(B) $6.25

(C) $9.85

(D) $10.00

(E) $16.00


A call between the two cities placed at 1:00 p.m. will be charges at $0.40 per minute, so $10.00 will be charged for 10/0.4 = 25-minute call.

25-minute call at $0.25 per minute will cost 25*0.25 = $6.25.

Answer: B.
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Re: For telephone calls between two particular cities, a telephone company [#permalink]

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New post 25 May 2017, 15:31
Call charges per minute
0.4(5am-9pm):0.25(9pm-5am)
These charges are in proportion 8:5.

So, since we spend 10$ while talking during the 5am-9pm period, it will cost (10*5)/8 or 6.25$ to make the call during the other time period(Option B)

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For telephone calls between two particular cities, a telephone company [#permalink]

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New post 21 Aug 2017, 05:24
How do you know not to primarily find out the duration of the call first and then calculate the costs for the 11 pm call? Bunuel's solution is easy and quick, but how to get the hint at first sight to attack this problem exactly this way? Thx for any comments, tips how to think through this problem.

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For telephone calls between two particular cities, a telephone company [#permalink]

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New post 21 Aug 2017, 10:03
carcass wrote
Quote:
For telephone calls between two particular cities, a telephone company charges $0.40 per minute if the calls are placed between 5:00 a.m. and 9:00 p.m. and $0.25 per minute if the calls are placed between 9:00 p.m. and 5:00 a.m. If the charge for a call between the two cities placed at 1:00 p.m. was $10.00, how much would a call of the same duration have cost if it had been placed at 11.00 p.m.?

(A) $3.75

(B) $6.25

(C) $9.85

(D) $10.00

(E) $16.00


AnnKatrin wrote
Quote:
How do you know not to primarily find out the duration of the call first and then calculate the costs for the 11 pm call? Bunuel's solution is easy and quick, but how to get the hint at first sight to attack this problem exactly this way? Thx for any comments, tips how to think through this problem.

AnnKatrin , Bunuel did exactly what you described:
1) "[first] find out the duration of the call"; and
2) "then calculate the costs for the 11 pm call."

He first calculated the duration of the call at 1 p.m (total cost, divided by cost per minute, yields number of minutes):
Quote:
Bunuel: A call between the two cities placed at 1:00 p.m. will be charges at $0.40 per minute, so $10.00 will be charged for 10/0.4 = 25-minute call.

With total minutes known, then he calculated the cost for the 11:00 p.m. call:
Quote:
25-minute call at $0.25 per minute will cost 25*0.25 = $6.25.

So you are spot-on about the method. You just didn't catch that Bunuel used that method. You don't need any tips on method here.

I'm going to bet you have tired eyes and just missed something. Easy to do. :-) Does that help?

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For telephone calls between two particular cities, a telephone company   [#permalink] 21 Aug 2017, 10:03
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