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For telephone calls between two particular cities, a telephone company charges $0.40

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by BTGModeratorVI » Sun Sep 27, 2020 7:01 am
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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

Answer: B
Source: Official guide
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Source: — Problem Solving |

BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
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

Answer: B
Source: Official guide
Let x = the duration (in minutes) of the call
For calls at $0.40 per minute, we can write: 0.4x = 10
Solve to get: x = 25
So, the original call lasted 25 minutes.

If the 25-minute call were placed at 11 pm (at $0.25 per minute) , the cost would = 25 x $0.25 = $6.25

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
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

Answer: B
Source: Official guide
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.

Therefore, B
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BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
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

Answer: B
Source: Official guide
Solution:

We can let m = the number of minutes for the call and create the equation:

0.4m = 10

m = 25

So if the call was placed at 11 pm, it would have cost 25 x 0.25 = 6.25 dollars.

Answer: B

Scott Woodbury-Stewart
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