Telephone Call

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kanha81: Master | Next Rank: 500 Posts; Posts: 431; Joined: Sat Jan 10, 2009 9:32 amFollowed by: 1 member; Thanked: 16 times

by kanha81 » Mon Jun 01, 2009 11:31 am

The charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call?

(1) The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call.

(2) The total charge for the call was $2.88.

I could not understand or setup an equation for the (1). Please help!

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Source: Beat The GMAT — Data Sufficiency | Mon Jun 01, 2009 11:31 am

mike22629: Master | Next Rank: 500 Posts; Posts: 322; Joined: Fri Mar 27, 2009 3:56 pm; Thanked: 24 times; GMAT Score:710

by mike22629 » Mon Jun 01, 2009 11:47 am

IMO D.

Info in Passage:
.42$ per minute for first 3 minutes, so 1.26$ for first 3 minutes.
Each additional minute .18

Statement 1:)
Since the charge for the first 3 minutes of the call was .36 less than the remainder
Total Cost = 1.26 + (1.26 + .36) = 2.88
1.62/.18 + 3 = total minutes

Notice I did not calculate actual answer because it is not necessary.

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kanha81: Master | Next Rank: 500 Posts; Posts: 431; Joined: Sat Jan 10, 2009 9:32 amFollowed by: 1 member; Thanked: 16 times

by kanha81 » Mon Jun 01, 2009 11:58 am

mike22629 wrote:IMO D.

Info in Passage:
.42$ per minute for first 3 minutes, so 1.26$ for first 3 minutes.
Each additional minute .18

Statement 1:)
Since the charge for the first 3 minutes of the call was .36 less than the remainder
Total Cost = 1.26 + (1.26 + .36) = 2.88
1.62/.18 + 3 = total minutes

Notice I did not calculate actual answer because it is not necessary.

Mike,
To be honest, I quite did not get your deduction of total cost. Trivial as it may see, I am not able to understand. Can you please help me understand this?

mike22629 wrote: Total Cost = 1.26 + (1.26 + .36) = 2.88
1.62/.18 + 3 = total minutes

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Always do what you're afraid to do. Whoooop GMAT

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brick2009: Master | Next Rank: 500 Posts; Posts: 171; Joined: Mon Jun 01, 2009 8:59 pm; Thanked: 8 times

D

by brick2009 » Mon Jun 01, 2009 9:32 pm

Answer : D

a.) if X is the total minutes,
(x-3)x18 cent = (3x.42)-.36 ...so you can solve for X

b.) is straight forward

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aj5105: Legendary Member; Posts: 1169; Joined: Sun Jul 06, 2008 2:34 amFollowed by: 1 member; Thanked: 25 times

by aj5105 » Tue Jun 02, 2009 6:29 am

Statement (1) : 1.26 + 0.36 = 0.18 * C [C = each additional minute over 3]

Sufficient

Statement (2) :1.26 + 0.18 * C = 2.88

Sufficient

[D]

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8142; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Dec 05, 2017 5:28 pm

kanha81 wrote:The charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call?

(1) The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call.

(2) The total charge for the call was $2.88.

We are given that the charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. We are also given that a call between the two cities lasted for x minutes. We can create the following equation:

3(0.42) + 0.18(x - 3) = total cost of the call

1.26 + 0.18x - 0.54 = total cost of the call

0.18x + 0.72 = total cost of the call

We must determine the value of x.

Statement One Alone

The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call.

Using the information in statement one, and from the given information, we can create the following equation:

1.26 = (0.18x - 0.54) - 0.36

0.78 = 0.18x - 0.54

2.16 = 0.18x

x = 12

Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone

The total charge for the call was 2.88.

Using the information in statement two, and from the given information, we can create the following equation:

0.18x + 0.72 = $2.88

0.18x = $2.16

x = 12

Answer: D

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