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A helicopter company charges $85 for the first kilometer of a trip and

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Bunuel
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A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   10 Jul 2017, 05:14
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83% (00:59) correct 17% (00:55) wrong based on 79 sessions
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A helicopter company charges $85 for the first kilometer of a trip and $5 for every kilometer after that. If the total cost of a trip was $365, how many kilometers were flown?

A. 55
B. 56
C. 57
D. 58
E. 59
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C
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   10 Jul 2017, 06:05
365-85 = 280
280/5 = 56
56+1 = 57. Ans - C.
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pushpitkc
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   10 Jul 2017, 07:29
If the total number of km's driven by the helicopter was x.

85 + 5(x-1) = 365
5x - 5 = 365 - 85
5x - 5 = 280
5x = 285
x=57

The total number of km that the helicopter drives is 57(Option C)
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   10 Jul 2017, 23:43
let the km flown after 1st km be x
85+5x=365
5x=280
x=56
hence total km flown =57
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   11 Jul 2017, 00:08
Let the distance traveled by Helicopter in km= x

Total cost of trip= 365
85 +5(x-1) = 365
5x - 5 = 365 - 85
5x - 5 = 280
5x = 285
x=57
Therefore, total distance traveled by Helicopter= 57km

Answer: C.

Kudos please if you like my explanation!
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink] New post   12 Jul 2017, 16:57
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Bunuel wrote:
A helicopter company charges $85 for the first kilometer of a trip and $5 for every kilometer after that. If the total cost of a trip was $365, how many kilometers were flown?

A. 55
B. 56
C. 57
D. 58
E. 59


For a trip of x miles, we pay $85 for the first kilometer and $5 for each of the remaining (x - 1) kilometers. We can create the following equation:

85 + 5(x - 1) = 365

5x - 5 = 280

5x = 285

x = 57

Answer: C
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Re: A helicopter company charges $85 for the first kilometer of a trip and [#permalink]
12 Jul 2017, 16:57
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