It takes Carlos 9 minutes to drive from home to work at an

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AAPL: Moderator; Posts: 2647; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Tue Feb 26, 2019 4:27 am

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It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cycle from home to work along the same route at an average rate of 6 miles per hour?

A. 26
B. 33
C. 36
D. 44
E. 48

OA B

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Source: Beat The GMAT — Problem Solving | Tue Feb 26, 2019 4:27 am

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

by GMATGuruNY » Tue Feb 26, 2019 4:54 am

AAPL wrote:GMAT Prep

It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cycle from home to work along the same route at an average rate of 6 miles per hour?

A. 26
B. 33
C. 36
D. 44
E. 48

(new rate)/(old rate) = (6 miles per hour)/(22 miles per hour) = 6/22 = 3/11.
Rate and time have a RECIPROCAL relationship.
Since the new rate is 3/11 of the old rate, the new time must be 11/3 of the old time:
(11/3)(9 minutes) = 33 minutes.

The correct answer is B.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8154; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Mar 01, 2019 9:36 am

AAPL wrote:GMAT Prep

It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cycle from home to work along the same route at an average rate of 6 miles per hour?

A. 26
B. 33
C. 36
D. 44
E. 48

OA B

Converting 9 minutes to 9/60 of an hour, we see that the distance to work is 9/60 x 22 = 3/20 x 22 = 3/10 x 11 = 33/10 miles.

Thus, it will take Carlos (33/10)/6 = 33/60 hours, or 33 minutes, to cycle to work,.

Answer: B

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