A helicopter company charges $85 for the first kilometer...

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BTGmoderatorLU: Moderator; Posts: 2575; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Thu Feb 08, 2018 6:53 am

A helicopter company charges $85 for the first kilometer of a trip and $5 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

The OA is C.

Experts, can I say that the total cost will be determined by the formula, T = 85+5k ( where k represent the additional kilometers after the first kilometer of the trip)?

Then, 365 = 85 + 5k, the value of k will be, k = (365 - 85) / 5 = 56 kilometers, that's mean that the total kilometers of the trip was 57. Right?

Experts, any suggestion about this PS question? Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Thu Feb 08, 2018 6:53 am

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

by Brent@GMATPrepNow » Thu Feb 08, 2018 7:21 am

LUANDATO wrote:A helicopter company charges $85 for the first kilometer of a trip and $5 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

The OA is C.

Experts, can I say that the total cost will be determined by the formula, T = 85+5k ( where k represent the additional kilometers after the first kilometer of the trip)?

Then, 365 = 85 + 5k, the value of k will be, k = (365 - 85) / 5 = 56 kilometers, that's mean that the total kilometers of the trip was 57. Right?

Experts, any suggestion about this PS question? Thanks in advance.

Perfect approach!

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8177; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Mon Jul 01, 2019 4:26 pm

BTGmoderatorLU wrote:A helicopter company charges $85 for the first kilometer of a trip and $5 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

The OA is C.

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 for the cost of the trip

85 + 5(x - 1) = 365

5x - 5 = 280

5x = 285

x = 57

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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