Find all School-related info fast with the new School-Specific MBA Forum

It is currently 25 Oct 2014, 21:08

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Two buses are travelling on the highway from X to Y .

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 10 Apr 2012
Posts: 279
Location: United States
Concentration: Technology, Other
GPA: 2.44
WE: Project Management (Telecommunications)
Followers: 2

Kudos [?]: 174 [0], given: 323

GMAT ToolKit User Premium Member CAT Tests
Two buses are travelling on the highway from X to Y . [#permalink] New post 24 Jun 2013, 13:15
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (03:54) correct 35% (03:38) wrong based on 60 sessions
Two buses are travelling on the highway from X to Y . The speed of the first bus is 60KMPH and the second bus travels at the speed of 40KMPH. The first bus leaves at 11 AM and the second leaves 15 mins later. The first bus starts back for X, 15 mins after it reaches Y . How far from Y will the first Bus meet the second ?Also, after how much time will they meet each other after the departure of the first bus from X , if the distance between X and Y is 180 KM.

A)36 KM , 3 Hrs 36 Mins
B)36 KM, 3 Hrs 51 Mins
c)24KM, 3 Hrs 50 mins
d)24 KM, 3 hrs 51 mins
e)48 KM, 2 Hrs 51 mins
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 09 Apr 2013
Posts: 214
Location: United States
Concentration: Finance, Economics
GMAT 1: 710 Q44 V44
GMAT 2: 740 Q48 V44
GPA: 3.1
WE: Sales (Mutual Funds and Brokerage)
Followers: 3

Kudos [?]: 58 [0], given: 40

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 24 Jun 2013, 15:50
This problem is best to do in steps, since you have to find out how far the buses go and then come back... you could do the math into one, giant equation but it's easier to segment it out and draw a timeline, especially since we don't have a calculator. .

So it takes the first bus \frac{180km}{60mph} = 3:00 hours to get to point Y. It then waits there another 15 minutes...

The second bus waits 15 minutes and then starts heading for y at 40mph

this means that at the time the first bus leaves point Y, the second bus will have been travelling for 3:00 hours (3:15-15)

Which means that it will have covered 40mph * 3:00 hours = 120m

Which means that they are now 3:15 into the journey and 180m - 120m =60m apart...

The two of them, together, can close the distance in \frac{60m}{(40mph + 60mph)} = .6 hours = 36 minutes

So the total time before they meet is 3:15 + 36= 3:51minutes

The total distance away from point X of the second bus would be 120m + (40mph * .6hours) = 144 miles which means that the bus has 180-144= 36 miles left to go.

So the final answer is B.
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 15 Jun 2012
Posts: 1122
Location: United States
Followers: 137

Kudos [?]: 1390 [1] , given: 122

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 25 Jun 2013, 00:31
1
This post received
KUDOS
Time for 1st bus travels from X to Y = 180/60 = 3h
Time for 2nd bus travels from X to Y = 180/30 = 4.5h

Because 1st bus traveled faster ==> 1st bus must meet 2nd when 1st bus went back from Y to X

t = time 2nd bus traveled to meet 1st bus
==> 2nd bus's distant = 40t
==> 1st bus's distant = 180 + 60(t - 3 + 1/4 - 1/4) because 1st bus started 15m (1/4h) earlier than 2nd bus, but waited 15m (1/4h) before traveling back to X.

We have equation: 40t + 60(t - 3) = 180
==> t = 3.6 h = 3h and 36 minutes

Question #1: How far from Y will the first Bus meet the second?
distant from Y = 60(3.6 -3) = 36km

Question #2: how much time will they meet each other after the departure of the first bus from X?
Time = time 2nd bus traveled to meed 1st bus + 15 minutes = 3h 36minutes + 15minutes = 3h 51 minutes.

Hence, B is correct.

Hope it helps.
_________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMV Chief of Design.


Last edited by Narenn on 26 Jun 2013, 08:38, edited 1 time in total.
Typo Corrected
Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 476
Followers: 1

Kudos [?]: 58 [0], given: 134

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 08 Aug 2013, 10:42
Two buses are travelling on the highway from X to Y . The speed of the first bus is 60KMPH and the second bus travels at the speed of 40KMPH. The first bus leaves at 11 AM and the second leaves 15 mins later. The first bus starts back for X, 15 mins after it reaches Y . How far from Y will the first Bus meet the second ?Also, after how much time will they meet each other after the departure of the first bus from X , if the distance between X and Y is 180 KM.

Round trip from X to Y to X. Distance is 180 km. Round trip = 360 km.

Bus A speed: 60 km/hour
leaves at 11:00 AM
Turns around 15 minutes after it reaches Y
Bus B speed: 40 km/hour
Leaves at 11:15 AM


Bus A reaches Y at 2:00 PM and heads back at 2:15 PM.
By the time bus A heads back, bus B has traveled for 3 hours meaning it has covered 120 km. At 2:15, bus A and bus B are 60 km apart. We can treat closing velocity as a combination of both speeds. In other words, time = distance/rate ===> time = 60/(40km/h + 60 km/h) ===> time = 60km/100km ===> time = .6 hours = 36 minutes. We know that it will take 36 minutes for B to meet A from the time when B has traveled 120 km which means that B will have traveled 3 hours + 36 minutes = 3:36 when they meet. B travels at 40 km/h so in 36 minutes it travels: distance=rate*time ===> distance = 40km/h*.6 ===> it travels an additional 24 km. B is a total of 180-120-24 = 36 km away from Y.

ANSWER: A)36 KM , 3 Hrs 36 Mins

ANSWER: A)36 KM , 3 Hrs 36 Mins

The question asks for how long will they have been traveling for after the departure of A. It takes them 3:36 to meet one another but that is the combined time of A and B. A leaves 15 minutes before B so it has traveled an additional 15 minutes before they meet: 3:36 + :15 = 3:51.

Last edited by WholeLottaLove on 08 Aug 2013, 11:16, edited 1 time in total.
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 11 Dec 2012
Posts: 313
Followers: 59

Kudos [?]: 191 [1] , given: 66

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 08 Aug 2013, 10:51
1
This post received
KUDOS
Expert's post
WholeLottaLove wrote:
Two buses are travelling on the highway from X to Y . The speed of the first bus is 60KMPH and the second bus travels at the speed of 40KMPH. The first bus leaves at 11 AM and the second leaves 15 mins later. The first bus starts back for X, 15 mins after it reaches Y . How far from Y will the first Bus meet the second ?Also, after how much time will they meet each other after the departure of the first bus from X , if the distance between X and Y is 180 KM.

Round trip from X to Y to X. Distance is 180 km. Round trip = 360 km.

Bus A speed: 60 km/hour
leaves at 11:00 AM
Turns around 15 minutes after it reaches Y
Bus B speed: 40 km/hour
Leaves at 11:15 AM


Bus A reaches Y at 2:00 PM and heads back at 2:15 PM.
By the time bus A heads back, bus B has traveled for 3 hours meaning it has covered 120 km. At 2:15, bus A and bus B are 60 km apart. We can treat closing velocity as a combination of both speeds. In other words, time = distance/rate ===> time = 60/(40km/h + 60 km/h) ===> time = 60km/100km ===> time = .6 hours = 36 minutes. We know that it will take 36 minutes for B to meet A from the time when B has traveled 120 km which means that B will have traveled 3 hours + 36 minutes = 3:36 when they meet. B travels at 40 km/h so in 36 minutes it travels: distance=rate*time ===> distance = 40km/h*.6 ===> it travels an additional 24 km. B is a total of 180-120-24 = 36 km away from Y.

ANSWER: A)36 KM , 3 Hrs 36 Mins


Hey wholelottalove, I think you forgot to add back the 15 minutes that the bus waited at location Y. It drove for 3 hours one way and 36 minutes the other, but there was a respite of 15 minutes, hence why 3:51 and not 3:36.

On a side note, I've never seen an actual GMAT question with multiple components to solve like this one. It's a good question to solve, but it's not a real GMAT question.

Thanks!
-Ron
_________________

Ron Awad
Veritas Prep | GMAT Instructor
Save $100 on Veritas Prep GMAT Courses and Admissions Consulting Services
Veritas Prep Reviews

Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 476
Followers: 1

Kudos [?]: 58 [0], given: 134

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 08 Aug 2013, 11:17
Thanks! I caught that as soon as you posted your reply. Thanks for the heads up though...stupid mistakes are still wrong answers! :-D


VeritasPrepRon wrote:
WholeLottaLove wrote:
Two buses are travelling on the highway from X to Y . The speed of the first bus is 60KMPH and the second bus travels at the speed of 40KMPH. The first bus leaves at 11 AM and the second leaves 15 mins later. The first bus starts back for X, 15 mins after it reaches Y . How far from Y will the first Bus meet the second ?Also, after how much time will they meet each other after the departure of the first bus from X , if the distance between X and Y is 180 KM.

Round trip from X to Y to X. Distance is 180 km. Round trip = 360 km.

Bus A speed: 60 km/hour
leaves at 11:00 AM
Turns around 15 minutes after it reaches Y
Bus B speed: 40 km/hour
Leaves at 11:15 AM


Bus A reaches Y at 2:00 PM and heads back at 2:15 PM.
By the time bus A heads back, bus B has traveled for 3 hours meaning it has covered 120 km. At 2:15, bus A and bus B are 60 km apart. We can treat closing velocity as a combination of both speeds. In other words, time = distance/rate ===> time = 60/(40km/h + 60 km/h) ===> time = 60km/100km ===> time = .6 hours = 36 minutes. We know that it will take 36 minutes for B to meet A from the time when B has traveled 120 km which means that B will have traveled 3 hours + 36 minutes = 3:36 when they meet. B travels at 40 km/h so in 36 minutes it travels: distance=rate*time ===> distance = 40km/h*.6 ===> it travels an additional 24 km. B is a total of 180-120-24 = 36 km away from Y.

ANSWER: A)36 KM , 3 Hrs 36 Mins


Hey wholelottalove, I think you forgot to add back the 15 minutes that the bus waited at location Y. It drove for 3 hours one way and 36 minutes the other, but there was a respite of 15 minutes, hence why 3:51 and not 3:36.

On a side note, I've never seen an actual GMAT question with multiple components to solve like this one. It's a good question to solve, but it's not a real GMAT question.

Thanks!
-Ron
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 343
Followers: 3

Kudos [?]: 121 [1] , given: 102

Re: Two buses are travelling on the highway from X to Y . [#permalink] New post 08 Aug 2013, 11:41
1
This post received
KUDOS
guerrero25 wrote:
Two buses are travelling on the highway from X to Y . The speed of the first bus is 60KMPH and the second bus travels at the speed of 40KMPH. The first bus leaves at 11 AM and the second leaves 15 mins later. The first bus starts back for X, 15 mins after it reaches Y . How far from Y will the first Bus meet the second ?Also, after how much time will they meet each other after the departure of the first bus from X , if the distance between X and Y is 180 KM.

A)36 KM , 3 Hrs 36 Mins
B)36 KM, 3 Hrs 51 Mins
c)24KM, 3 Hrs 50 mins
d)24 KM, 3 hrs 51 mins
e)48 KM, 2 Hrs 51 mins

.............
solution:
Time to each Y, 1st bus = 180/60 = 3hours,
then 15 min rest. 2nd bus leaves 15 min later. so it also travels 3 hours.
distance covered by 2nd bus= 40 * 3 = 120
]so from y they are 180-120=60 km apart .

let, they will meet P km from Y after t hours.

now, P = 60 * t
and, 60-P = 40 * t
...............................
(+), 60 = 100t
or, t = 3/5
so p = 60 * 3/5 = 36km (Ans)
total time from the 1st = 3hour and15min+3/5 * 60 = 3hours and 51min (Answer)
_________________

Asif vai.....

Re: Two buses are travelling on the highway from X to Y .   [#permalink] 08 Aug 2013, 11:41
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic Two highways start from a point P and meet again... mynhauzen 4 13 Feb 2013, 22:56
A train traveled from station X to station Y at a constant seofah 2 09 Nov 2008, 07:10
A train traveled from station X to station Y at a constant singh_amit19 4 24 Sep 2007, 12:15
A motorist travels from City X to City Y in 2 hours at an desiguy 7 06 Dec 2005, 12:29
A car travelled 75% of the way from town X to town Y at a cloudz9 3 04 Jun 2005, 14:57
Display posts from previous: Sort by

Two buses are travelling on the highway from X to Y .

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.