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The charge for a telephone call made at 10:00 a.m. from City Y to City

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The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 08:53
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A
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C
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Difficulty:

  35% (medium)

Question Stats:

80% (02:16) correct 20% (02:34) wrong based on 20 sessions

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The charge for a telephone call made at 10:00 a.m. from City Y to City X is $0.50 for the first minute and $0.34 for each additional minute. At these rates, what is the difference between the total cost of three 5-minute calls and the cost of one 15-minute call?


(A) $0.00

(B) $0.16

(C) $0.32

(D) $0.48

(E) $1.00

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Re: The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 09:08
Cost of one 5 minute call = 0.5 + 4(0.34) = 0.5 + 1.36 = 1.86

=> Cost of three 5 minute calls = 1.86*3 = 5.58

Cost of 15 minute call = 0.5 + 14(0.34) = 0.5 + 4.76 = 5.26

Difference = 5.58 - 5.26 = 0.32

=> Answer: C

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Re: The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 09:13
Given: The charge for a telephone call made at 10:00 a.m. from City Y to City X is $0.50 for the first minute and $0.34 for each additional minute.

To find : difference between the total cost of three 5-minute calls and the cost of one 15-minute call?

Solution:
Cost of 5 min call = 1(0.50)+4(0.34) = 1.86

Cost of 3 such calls = 1.86*3 = 5.58

Cost of 15 min call = 1(0.50)+14(0.34) = 5.26

The difference between two= 5.58-5.26 = 0.32

Answer is C

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Re: The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 09:41
Cost of one 5 minute call = 0.5 + 4(0.34) = 0.5 + 1.36 = 1.86

Cost of three 5 minute calls = 1.86*3 = 5.58

Cost of 15 minute call = 0.5 + 14(0.34) = 0.5 + 4.76 = 5.26

Difference = 5.58 - 5.26 = 0.32

Answer: C
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The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 10:47
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We really do not need to do the lengthy calculation here in this question...

The only difference will be that for the three- 5 minute calls 0.5 $ will be charged for the first minutes three times..while in One- 15 minute call 0.50$ will be charged for the first minute only once...

So we basically need to take the difference of extra cost of first minutes only...

Which will be...

2 * (0.5 - 0.34) = 2* 0.16

= 0.32

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Re: The charge for a telephone call made at 10:00 a.m. from City Y to City  [#permalink]

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New post 22 Jun 2020, 15:55
Bunuel wrote:
The charge for a telephone call made at 10:00 a.m. from City Y to City X is $0.50 for the first minute and $0.34 for each additional minute. At these rates, what is the difference between the total cost of three 5-minute calls and the cost of one 15-minute call?


(A) $0.00

(B) $0.16

(C) $0.32

(D) $0.48

(E) $1.00


You don't have to calculate the cost entirely.

The only difference is those 2 calls that will be treated as first calls instead of a subsequent minute. the difference in each of those calls is 0.16$. So for 2 such calls difference will be 0.32$

Answer C
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Re: The charge for a telephone call made at 10:00 a.m. from City Y to City   [#permalink] 22 Jun 2020, 15:55

The charge for a telephone call made at 10:00 a.m. from City Y to City

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