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A parking lot charges a flat rate of X dollars for any amount of time
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14 May 2021, 05:51
14 May 2021, 05:51
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A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?
(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6
(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6
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Re: A parking lot charges a flat rate of X dollars for any amount of time
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14 May 2021, 06:39
14 May 2021, 06:39
1
Carcass wrote:
A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?
(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6
(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6
2 hours: cost = x dollars
3 hours: cost = x + x/6 dollars
4 hours: cost = x + x/6 + x/6 dollars
5 hours: cost = x + x/6 + x/6 + x/6 dollars
5.25 hours: cost = x + x/6 + x/6 + x/6 + x/6 dollars
We must now simplify: x + x/6 + x/6 + x/6 + x/6 dollars
Rewrite with common denominator: 6x/6 + x/6 + x/6 + x/6 + x/6 dollars
Combine numerators: 10x/6 dollars
Simplify: 5x/3 dollars
Answer: C
Cheers,
Brent
gmatclubot
Re: A parking lot charges a flat rate of X dollars for any amount of time [#permalink]
14 May 2021, 06:39
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