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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
10 Jan 2020, 02:59
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:54) correct
30%
(02:36)
wrong
based on 192
sessions
History
Date
Time
Result
Not Attempted Yet
If A, B and C take 12 mins, 15 mins and 20 mins to complete one full round of a circular track, after how much time will all three A, B and C meet for the first time, if they start from the same point at the same time, with A and C running in clockwise direction and B running in anti-clockwise direction?
A. 1/2 hours
B. 1 hour
C. 2 hours
D. 5 hours
E. 30 hours
Are You Up For the Challenge: 700 Level Questions
A. 1/2 hours
B. 1 hour
C. 2 hours
D. 5 hours
E. 30 hours
Are You Up For the Challenge: 700 Level Questions
10 Jan 2020, 03:55
Kudos
Bookmarks
Asume length of track= LCM(12,15,20)= 60.
speed of A= 5m/min
speed of B= 4m/min
speed of C= 3m/min
Time taken by A and C to meet=\( \frac{60}{(5-3)}\)= 30min ( Both are running in same direction)
Time taken by A and B to meet= \(\frac{60}{(5+4)}= \frac{60}{9}\) min ( Both are running in opposite direction)
Time taken by B and C to meet=\( \frac{60}{(4+3)}= \frac{60}{7}\) min ( Both are running in opposite direction)
time after which all three A, B and C meet for the first time= LCM(30, 60/9,60/7)= \(\frac{LCM(30,60,60)}{HCF(1,9,7)}\)= 60mins
speed of A= 5m/min
speed of B= 4m/min
speed of C= 3m/min
Time taken by A and C to meet=\( \frac{60}{(5-3)}\)= 30min ( Both are running in same direction)
Time taken by A and B to meet= \(\frac{60}{(5+4)}= \frac{60}{9}\) min ( Both are running in opposite direction)
Time taken by B and C to meet=\( \frac{60}{(4+3)}= \frac{60}{7}\) min ( Both are running in opposite direction)
time after which all three A, B and C meet for the first time= LCM(30, 60/9,60/7)= \(\frac{LCM(30,60,60)}{HCF(1,9,7)}\)= 60mins
Bunuel
General Discussion
10 Jan 2020, 03:11
Kudos
Bookmarks
Bunuel
Bunuel Please check the units of the given options,
assuming
A. 1/2 hour
B. 1 hour
C. 2 hour
Substitute the options and check
Number of rounds made by A, B & C after 't' mins = t/12, t/15 & t/20 respectively
No. of rounds -------- A ----- B ----- C
Time (mins)
-- 30 ----------------- 2.5 --- 2 ---- 1.5 --> No
-- 60 ----------------- 5 ----- 4 ----- 3 --> Yes [Everyone met at the starting point for the first time]
IMO Option B
