• Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

Mr Ben leaves his house for work

This topic has 1 expert reply and 0 member replies

Mr Ben leaves his house for work

Post Sun Nov 05, 2017 1:08 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Mr Ben leaves his house for work at exactly 8:00 AM every morning. When he averages 40 miles per hour, he arrives at his workplace three minutes late. When he averages 60 miles per hour, he arrives three minutes early. At what average speed, in miles per hour, should Mr. Ben drive to arrive at his workplace precisely on time?

    A) 45
    B) 48
    C) 50
    D) 55
    E) 58

    In what equation will give me the Best option in this problem?

    OA B

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sun Nov 05, 2017 2:13 pm
    lheiannie07 wrote:
    Mr Ben leaves his house for work at exactly 8:00 AM every morning. When he averages 40 miles per hour, he arrives at his workplace three minutes late. When he averages 60 miles per hour, he arrives three minutes early. At what average speed, in miles per hour, should Mr. Ben drive to arrive at his workplace precisely on time?

    A) 45
    B) 48
    C) 50
    D) 55
    E) 58
    Let t = the number of minutes allotted for Mr. Ben to arrive at work on time..

    When he averages 40 miles per hour, he arrives at his workplace three minutes late.
    (40 miles/1 hour)(1 hour/60 seconds) = 40/60 mile per minute = 2/3 mile per minute.
    Since Mr. Ben arrives 3 minutes LATE, he travels for 3 minutes MORE than the allotted number of minutes:
    t+3.
    At a rate of 2/3 mile per minutes, the distance traveled in t+3 minutes = rt = (2/3)(t+3) = (2/3)t + 2.

    When he averages 60 miles per hour, he arrives three minutes early.
    (60 miles/1 hour)(1 hour/60 seconds) = 60/60 mile per minute = 1 mile per minute.
    Since Mr. Ben arrives 3 minutes EARLY, he travels for 3 minutes LESS than the allotted number of minutes:
    t-3.
    At a rate of 1 mile per minute, the distance traveled in t-3 minutes = rt = (1)(t-3) = t-3.

    Since the distance traveled in each case is THE SAME, the expressions in blue are equal:
    (2/3)t + 2 = t-3
    5 = (1/3)t
    t = 15.

    Since Mr. Ben travels for t-3 minutes at a rate of 1 mile per minute, the distance to work = (r)(t-3) = (1)(15-3) = 12 miles.
    To travel the 12 miles to work in the allotted number of minutes -- the red value above -- the required rate = d/t = 12/15 = 4/5 mile per minute.
    (4/5 miles/1 minute)(60 minutes/1 hour) = 48 miles per hour.

    The correct answer is B.

    _________________
    Mitch Hunt
    GMAT Private Tutor
    GMATGuruNY@gmail.com
    If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
    Available for tutoring in NYC and long-distance.
    For more information, please email me at GMATGuruNY@gmail.com.

    Thanked by: lheiannie07
    Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

    Best Conversation Starters

    1 LUANDATO 148 topics
    2 lheiannie07 91 topics
    3 Roland2rule 79 topics
    4 AAPL 66 topics
    5 ardz24 64 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description EconomistGMATTutor

    The Economist GMAT Tutor

    157 posts
    2 image description Jay@ManhattanReview

    Manhattan Review

    128 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    127 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    120 posts
    5 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    109 posts
    See More Top Beat The GMAT Experts