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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Maxwell leaves his home and walks toward Brad's house at the ##### This topic has 3 expert replies and 0 member replies ## Maxwell leaves his home and walks toward Brad's house at the Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad? (A) 16 (B) 18 (C) 20 (D) 24 (E) 30 Is there a strategic approach to this question? Can any experts help? ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15353 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Top Reply ardz24 wrote: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad? (A) 16 (B) 18 (C) 20 (D) 24 (E) 30 Since Max and Brad travel toward each other, they WORK TOGETHER to cover the 50 kilometers between them. When people work together, ADD THEIR RATES. The combined rate for Max and Brad = 4+6 = 10 kilometers per hour. Of every 10 kilometers traveled by Max and Brad working together, 4 kilometers are traveled by Max (since his rate is 4 kph), and 6 kilometers are traveled by Brad (since his rate is 6 kph). Implication: Brad will travel 6/10 of the 50 kilometers between the two houses: (6/10)(50) = 30 kilometers. The correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 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. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply ardz24 wrote: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad? (A) 16 (B) 18 (C) 20 (D) 24 (E) 30 Is there a strategic approach to this question? Can any experts help? If they were walking at the same speed for the same amount of time, they'd each cover half the distance, or 25 km. Because Brad is walking faster, he must cover more than 25 km. Only E works. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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BTGmoderatorAT wrote:
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30
We can let Maxwellâ€™s time = t = Bradâ€™s time. Furthermore, since distance = rate x time, Maxwellâ€™s distance = 4t and Bradâ€™s distance = 6t . Since their total distance is 50 km, we can create the following equation:

Maxwellâ€™s distance + Bradâ€™s distance = 50

4t + 6t = 50

10t = 50

t = 5

Thus, Brad has traveled 6(5) = 30 km when they meet.

Alternate Solution:

Since Brad and Maxwell are moving towards each other, the distance between the two is decreasing at a rate of 4 + 6 = 10 km/h. Since they are 50 km apart initially, they will meet after 50/10 = 5 hours. Thus, when they meet, Brad will have traveled 5 x 6 = 30 kilometers.

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jeff@targettestprep.com

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