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The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile

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Math Expert
Joined: 02 Sep 2009
Posts: 59572
The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile  [#permalink]

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20 Nov 2019, 01:23
00:00

Difficulty:

35% (medium)

Question Stats:

90% (01:27) correct 10% (02:09) wrong based on 31 sessions

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The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile to rent a car. The Super Rent-a-Car agency charges \$20.00 per day and \$0.05 per mile to rent a car. If a car is rented for 1 day, at how many miles would the rental charges of the two agencies be equal?

(A) 50

(B) 100

(C) 150

(D) 175

(E) 200
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5428
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile  [#permalink]

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20 Nov 2019, 01:27
from given info
10+0.1x=20+0.05x
solve for x= 200 miles
IMO E

Bunuel wrote:
The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile to rent a car. The Super Rent-a-Car agency charges \$20.00 per day and \$0.05 per mile to rent a car. If a car is rented for 1 day, at how many miles would the rental charges of the two agencies be equal?

(A) 50

(B) 100

(C) 150

(D) 175

(E) 200
Director
Joined: 09 Aug 2017
Posts: 604
Re: The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile  [#permalink]

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20 Nov 2019, 01:29
\$10 + 0.1m= \$20+0.05m
m= 200 miles
Intern
Joined: 11 Aug 2019
Posts: 1
Re: The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile  [#permalink]

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21 Nov 2019, 08:31
10 + 0.1X = 20 + 0.05X

0.05X = 10

X= 10/0.05 = 200

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Re: The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile  [#permalink]

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24 Nov 2019, 18:47
Bunuel wrote:
The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile to rent a car. The Super Rent-a-Car agency charges \$20.00 per day and \$0.05 per mile to rent a car. If a car is rented for 1 day, at how many miles would the rental charges of the two agencies be equal?

(A) 50

(B) 100

(C) 150

(D) 175

(E) 200

We can create the following equation:

10 + 0.1n = 20 + 0.05n

0.05n = 10

n = 200

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Re: The Acme Rent-a-Car agency charges \$10.00 per day and \$0.10 per mile   [#permalink] 24 Nov 2019, 18:47
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