Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 1810:00 AM PDT
-11:00 AM PDT
Join us in a live GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products. Ends 6/1
May 1501:00 PM IST
-11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- May 19
12:00 PM PDT
-01:00 PM PDT
Scoring 329 on the GRE is not always about using more books, more courses, or a longer study plan. In this episode of GRE Success Talks, Ashutosh shares his GRE preparation strategy, study plan, and test-day experience, explaining how he kept his prep.... - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
09 Dec 2021, 08:15
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
24% (03:12) correct
76%
(02:50)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
Cities M and N are 600 miles apart. Bus A starts from city M towards N at 9 AM and bus B starts from city N towards M at the same time. Bus A travels the first one-third of the distance at a speed of 40 miles per hour, the second one-third at 50 miles per hour and the third one-third at 60 miles per hour. Bus B travels the first one-third of the total time taken at a speed of 40miles per hour, the second one-third at 50 miles per hour and the third one-third at 60 miles per hour. At what distance will the two buses cross each other?
A. 300 miles from M
B. 280 miles from M
C. 305 miles from M
D. 295 miles from M
E. 350 miles from M
Are You Up For the Challenge: 700 Level Questions
A. 300 miles from M
B. 280 miles from M
C. 305 miles from M
D. 295 miles from M
E. 350 miles from M
Are You Up For the Challenge: 700 Level Questions
09 Dec 2021, 08:38
Kudos
Bookmarks
A travels the first third of the distance, or 200 miles, at 40 mph, so that takes 5 hours.
B is traveling at its different speeds for equal amounts of time, so its average speed overall will just be the normal average of its speeds, and it will average (40 + 50 + 60)/3 = 50 mph for the trip, and its total time will thus be 12 hours. So it travels for 4 hours at each speed, and in particular, it travels the first 4 hours at 40 mph, and covers 160 miles, and then travels the next hour at 50 mph, and covers a further 50 miles, so after 5 hours, it has traveled 210 miles.
So after 5 hours, both trains are traveling at 50 mph, and the trains are 190 miles apart. They'll continue to travel at 50 mph until they meet, so now it's just a standard converging speed problem; the distance between the trains is falling at 50+50 = 100 mph, and they are 190 miles apart, so it will take 1.9 hours for the two trains to meet. At 50 mph, each travels 95 miles in 1.9 hours, so in total, train A has traveled 295 miles when they meet, and B has traveled 305 miles. The answer choices all measure the distance from city M, so the question is asking how far A has traveled, and 295 miles is the answer.
B is traveling at its different speeds for equal amounts of time, so its average speed overall will just be the normal average of its speeds, and it will average (40 + 50 + 60)/3 = 50 mph for the trip, and its total time will thus be 12 hours. So it travels for 4 hours at each speed, and in particular, it travels the first 4 hours at 40 mph, and covers 160 miles, and then travels the next hour at 50 mph, and covers a further 50 miles, so after 5 hours, it has traveled 210 miles.
So after 5 hours, both trains are traveling at 50 mph, and the trains are 190 miles apart. They'll continue to travel at 50 mph until they meet, so now it's just a standard converging speed problem; the distance between the trains is falling at 50+50 = 100 mph, and they are 190 miles apart, so it will take 1.9 hours for the two trains to meet. At 50 mph, each travels 95 miles in 1.9 hours, so in total, train A has traveled 295 miles when they meet, and B has traveled 305 miles. The answer choices all measure the distance from city M, so the question is asking how far A has traveled, and 295 miles is the answer.
29 Jul 2022, 10:40
Kudos
Bookmarks
IanStewart
Hi experts , ,need help to understand how to find the distance? i am able to calculate the RS for A& B and the total time taken by each but not able to proceed further. thanks to help
