United Telephone charges a base rate of $10.00 for service,

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

United Telephone charges a base rate of $10.00 for service,

by AAPL » Thu Aug 23, 2018 5:49 am

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United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?

A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes

OA D.

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Source: Beat The GMAT — Problem Solving | Thu Aug 23, 2018 5:49 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Thu Aug 23, 2018 6:00 am

AAPL wrote:Manhattan Prep

United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?

A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes

OA D.

Let x = the number of minutes used

United Telephone charge = $10.00 + $0.25x
Atlantic Call charge = $12.00 + $0.20x

For what number of minutes would the bills for each telephone company be the same?
In other words, for what value of x does $10.00 + $0.25x EQUAL $12.00 + $0.20x?

Let's find out....
10.00 + 0.25x = 12.00 + 0.20x
Subtract 10 from both sides to get: 0.25x = 2 + 0.20x
Subtract 0.20x from both sides to get: 0.05x = 2
Solve: x = 2/0.05 = 40

ASIDE: If you're not crazy about dividing by decimals, you can always take 2/0.05 and create an EQUIVALENT fraction first.
Take: 2/0.05
Multiply top and bottom by 100 to get: 200/5, which equals 40

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Thu Aug 23, 2018 6:16 am

AAPL wrote:Manhattan Prep

United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?

A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes

An alternate approach is to PLUG IN THE ANSWERS.
When the correct answer is plugged in, the two companies will charge the same amount.

B: 10 minutes
Since United charges $10 plus $0.25 per minute, the charge from United = 10 + 10(0.25) = $12.50.
Since Atlantic charges $12 plus $0.20 per minute, the charge from Atlantic = 12 + 10(0.20) = $14.00.
In this case, United's charge is lower than Atlantic's.
Eliminate B.

D: 40 minutes
Since United charges $10 plus $0.25 per minute, the charge from United = 10 + 40(0.25) = $20.
Since Atlantic charges $12 plus $0.20 per minute, the charge from Atlantic = 12 + 40(0.20) = $20.
Success!

The correct answer is D.

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 am; Location: New York, NY; Thanked: 39 times; Followed by:22 members

by Jeff@TargetTestPrep » Wed Sep 05, 2018 9:48 am

AAPL wrote:Manhattan Prep

United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?

A. 2 minutes
B. 10 minutes
C. 20 minutes
D. 40 minutes
E. 60 minutes