• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
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 ## A car and a bicycle traveled in the same direction along the tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 1 member reply ### GMAT/MBA Expert ## A car and a bicycle traveled in the same direction along the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point? A. 15 min B. 20 min C. 25 min D. 30 min E. 35 min _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Email to : info@mathrevolution.com

### GMAT/MBA Expert

Legendary Member
Joined
24 Jul 2015
Posted:
2240 messages
Followed by:
32 members
19
GMAT Score:
=>

Since the car travelled for 15 minutes with the speed 40 mph, it moved 10 miles. It take 20 minutes the bicycle to travel 10 miles with the speed 30 mph.

_________________

Math Revolution
Finish GMAT Quant Section with 10 minutes to spare.
The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 977 messages Followed by: 2 members speed rate of car = 40 mph speed rate of bicycle = 30 mph 15 minutes to an hour = 1/4 hour In 15 minutes, the car ha travelled $$40\cdot\frac{1}{4}=10miles$$ and the bicycle travelled $$30\cdot\frac{1}{4}=\frac{30}{4}miles$$ At constant speed, the bicycle will have to travel additional miles to reach the position of the car $$Therefore\ \frac{10}{1}-\frac{30}{4}=\frac{40-30}{4}=\frac{10}{4}=\frac{5}{2}miles$$ i.e bicycle will travel additional 5/2 miles to reach the car. if the bicycle travels 30 miles in 60 minutes it will travel 5/2 miles in x meter $$30=60$$ $$\frac{5}{2}=x$$ by cross multiplying $$30\cdot x=60\cdot\frac{5}{2}$$ $$\frac{30x}{30}=\frac{150}{30}$$ $$x=5miles$$ Bearing in mind that the bicycle has already travelled 15 minutes Total time-taken to reach waiting point = 15+5 mile = 20 miles $$Option\ B$$ ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2456 messages Followed by: 18 members Upvotes: 43 Max@Math Revolution wrote: [Math Revolution GMAT math practice question] A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point? A. 15 min B. 20 min C. 25 min D. 30 min E. 35 min In 15 minutes, or 1/4 of an hour, the car travels 40/4 miles and the bicycle travels 30/4 miles. Thus, the bicycle needs to travel 40/4 - 30/4 = 10/4 = 5/2 miles to reach the car. The bicycle will travel 5/2 miles in (5/2)/30 = 5/60 = 1/12 hour, which is 60 x 1/12 = 5 minutes. Including the 15 minutes that the bike has already traveled, it takes 15 + 5 = 20 minutes for the bike to reach the waiting point. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 77 first replies
2 Brent@GMATPrepNow 66 first replies
3 GMATGuruNY 33 first replies
4 Ian Stewart 24 first replies
5 Scott@TargetTestPrep 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

200 posts
2 Max@Math Revolution

Math Revolution

94 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

92 posts
4 Jay@ManhattanReview

Manhattan Review

83 posts
5 GMATGuruNY

The Princeton Review Teacher

57 posts
See More Top Beat The GMAT Experts