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

 It is currently 24 Aug 2016, 19:44

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A museum offers four video programs that run continuously

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 12 Oct 2012
Posts: 97
Followers: 1

Kudos [?]: 26 [1] , given: 175

A museum offers four video programs that run continuously [#permalink]

### Show Tags

24 Nov 2012, 01:28
1
This post received
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

57% (04:17) correct 43% (02:27) wrong based on 117 sessions

### HideShow timer Statistics

A museum offers four video programs that run continuously throughout the day, each program starting anew as soon as it is finished. The first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes, and the fourth every 40 minutes; the first show of each program starts at 10am and the last showing of each program ends at 4 pm. If a tour group can watch the programs in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs?

A. 165 mins
B. 164 mins
C. 160 mins
D. 158 mins
E. 157 mins
[Reveal] Spoiler: OA
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6827
Location: Pune, India
Followers: 1917

Kudos [?]: 11920 [5] , given: 221

Re: A museum offers four video programs that run continuously [#permalink]

### Show Tags

24 Nov 2012, 03:23
5
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
aditi2013 wrote:
Dear all,

I have read the answer to this question but I am still confused. Does someone have an easier way to solve this problem?

Q: A museum offers four video programs that run continuously throughout the day, each program starting anew as soon as it is finished. The first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes, and the fourth every 40 minutes; the first show of each program starts at 10am and the last showing of each program ends at 4 pm. If a tour group can watch the programs in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs?

A.165 mins
B.164 mins
C.160 mins
D. 158 mins
E. 157 mins

First notice the minimum amount of time that needs to be taken: 15+10 + 30+10 + 45+10 + 40 = 160 mins
So D and E are out.
Since all show timings are a multiple of 5 and the group needs 10 mins to regroup, there is no way we will get 164. Hence the only options that will work out are 165 or 160.
If 160 is the answer, we have no wriggle room. We must watch shows one after the other with only 10 mins in between.

Shows: 15 mins, 30 mins, 40 mins, 45 mins
If we start with 15 min show and then regroup in 10 mins, we need to start another show in 25 mins. But no show starts in 25 mins so let's not start with 15 mins. (Same logic can be used to show that we cannot watch 40 min and 45 min shows first if we want to spend a total of only 160 mins)

If we start with 30 min show and then regroup in 10 mins, we need to start another show in 40 mins. A show does start in 40 mins so let's watch that. Now 80 mins have passed. We take 10 mins to regroup and now 90 mins have passed. Both the other shows start now. We watch the 45 min show and regroup for 10 mins. Now 145 mins have passed. But the 15 min show will start in 5 mins so we will need to wait another 5 mins for it and then watch it.
Total time taken will be 165 mins.

We cannot watch all the shows in 160 mins.

Answer A
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 12 Oct 2012 Posts: 97 Followers: 1 Kudos [?]: 26 [0], given: 175 Re: A museum offers four video programs that run continuously [#permalink] ### Show Tags 24 Nov 2012, 23:57 VeritasPrepKarishma wrote: aditi2013 wrote: Dear all, I have read the answer to this question but I am still confused. Does someone have an easier way to solve this problem? Q: A museum offers four video programs that run continuously throughout the day, each program starting anew as soon as it is finished. The first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes, and the fourth every 40 minutes; the first show of each program starts at 10am and the last showing of each program ends at 4 pm. If a tour group can watch the programs in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs? A.165 mins B.164 mins C.160 mins D. 158 mins E. 157 mins First notice the minimum amount of time that needs to be taken: 15+10 + 30+10 + 45+10 + 40 = 160 mins So D and E are out. Since all show timings are a multiple of 5 and the group needs 10 mins to regroup, there is no way we will get 164. Hence the only options that will work out are 165 or 160. If 160 is the answer, we have no wriggle room. We must watch shows one after the other with only 10 mins in between. Shows: 15 mins, 30 mins, 40 mins, 45 mins If we start with 15 min show and then regroup in 10 mins, we need to start another show in 25 mins. But no show starts in 25 mins so let's not start with 15 mins. (Same logic can be used to show that we cannot watch 40 min and 45 min shows first if we want to spend a total of only 160 mins) If we start with 30 min show and then regroup in 10 mins, we need to start another show in 40 mins. A show does start in 40 mins so let's watch that. Now 80 mins have passed. We take 10 mins to regroup and now 90 mins have passed. Both the other shows start now. We watch the 45 min show and regroup for 10 mins. Now 145 mins have passed. But the 15 min show will start in 5 mins so we will need to wait another 5 mins for it and then watch it. Total time taken will be 165 mins. We cannot watch all the shows in 160 mins. Answer A Karishma u are great..finally after breaking my head, i got it..is this a 700 level Q and can it be solved in 2 mins on the D-day? Manager Joined: 04 Oct 2011 Posts: 224 Location: India Concentration: Entrepreneurship, International Business GMAT 1: 440 Q33 V13 GMAT 2: 0 Q0 V0 GPA: 3 Followers: 0 Kudos [?]: 44 [0], given: 44 Re: A museum offers four video programs that run continuously [#permalink] ### Show Tags 25 Nov 2012, 17:40 VeritasPrepKarishma wrote: aditi2013 wrote: Dear all, I have read the answer to this question but I am still confused. Does someone have an easier way to solve this problem? Q: A museum offers four video programs that run continuously throughout the day, each program starting anew as soon as it is finished. The first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes, and the fourth every 40 minutes; the first show of each program starts at 10am and the last showing of each program ends at 4 pm. If a tour group can watch the programs in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs? A.165 mins B.164 mins C.160 mins D. 158 mins E. 157 mins First notice the minimum amount of time that needs to be taken: 15+10 + 30+10 + 45+10 + 40 = 160 mins So D and E are out. Since all show timings are a multiple of 5 and the group needs 10 mins to regroup, there is no way we will get 164. Hence the only options that will work out are 165 or 160. If 160 is the answer, we have no wriggle room. We must watch shows one after the other with only 10 mins in between. Shows: 15 mins, 30 mins, 40 mins, 45 mins If we start with 15 min show and then regroup in 10 mins, we need to start another show in 25 mins. But no show starts in 25 mins so let's not start with 15 mins. (Same logic can be used to show that we cannot watch 40 min and 45 min shows first if we want to spend a total of only 160 mins) If we start with 30 min show and then regroup in 10 mins, we need to start another show in 40 mins. A show does start in 40 mins so let's watch that. Now 80 mins have passed. We take 10 mins to regroup and now 90 mins have passed. Both the other shows start now. We watch the 45 min show and regroup for 10 mins. Now 145 mins have passed. But the 15 min show will start in 5 mins so we will need to wait another 5 mins for it and then watch it. Total time taken will be 165 mins. We cannot watch all the shows in 160 mins. Answer A Hey great Karishma!! I took 6 mins to solve... but still got it wrong as 160 mins... I wrote all possible combinations... Didnt even think i can eliminate D E and B so easily until i see ur solution _________________ GMAT - Practice, Patience, Persistence Kudos if u like Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 6827 Location: Pune, India Followers: 1917 Kudos [?]: 11920 [0], given: 221 Re: A museum offers four video programs that run continuously [#permalink] ### Show Tags 05 Dec 2012, 23:20 aditi2013 wrote: Karishma u are great..finally after breaking my head, i got it..is this a 700 level Q and can it be solved in 2 mins on the D-day? The question isn't hard.. more like tedious. You need to work through the options to figure out that 160 is not possible. That could be time consuming. You can do it in 2 mins if you stay focused (which is hard to do under exam time constraints). So possibly you might end up spending more time on it. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Manager
Joined: 04 Oct 2011
Posts: 224
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GMAT 2: 0 Q0 V0
GPA: 3
Followers: 0

Kudos [?]: 44 [0], given: 44

Re: A museum offers four video programs that run continuously [#permalink]

### Show Tags

06 Dec 2012, 00:12
VeritasPrepKarishma wrote:
aditi2013 wrote:

Karishma u are great..finally after breaking my head, i got it..is this a 700 level Q and can it be solved in 2 mins on the D-day?

The question isn't hard.. more like tedious. You need to work through the options to figure out that 160 is not possible. That could be time consuming. You can do it in 2 mins if you stay focused (which is hard to do under exam time constraints). So possibly you might end up spending more time on it.

Ya its hard in exam to stay focused on time...
hmm thanks for this question...
Looking forward more challenging questions to learn
_________________

GMAT - Practice, Patience, Persistence
Kudos if u like

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11040
Followers: 509

Kudos [?]: 133 [0], given: 0

Re: A museum offers four video programs that run continuously [#permalink]

### Show Tags

22 Feb 2015, 20:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11040
Followers: 509

Kudos [?]: 133 [0], given: 0

Re: A museum offers four video programs that run continuously [#permalink]

### Show Tags

24 Feb 2016, 03:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
SVP
Joined: 17 Jul 2014
Posts: 1636
Location: United States
Schools: Stanford '19
GMAT 1: 550 Q39 V27
GMAT 2: 560 Q42 V26
GMAT 3: 560 Q43 V24
GMAT 4: 650 Q49 V30
GPA: 3.56
WE: General Management (Transportation)
Followers: 12

Kudos [?]: 193 [0], given: 109

Re: A museum offers four video programs that run continuously [#permalink]

### Show Tags

23 Mar 2016, 19:21
aditi2013 wrote:
A museum offers four video programs that run continuously throughout the day, each program starting anew as soon as it is finished. The first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes, and the fourth every 40 minutes; the first show of each program starts at 10am and the last showing of each program ends at 4 pm. If a tour group can watch the programs in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs?

A. 165 mins
B. 164 mins
C. 160 mins
D. 158 mins
E. 157 mins

oh damn..took some time to solve this one...got with the below best option:
start with the second movie, finish at 10:30. 10 mins pause, next movie starts at 10:40, the fourth one. 4th finishes at 11:20. another 10 mins pause. 11:30. at 11:30 starts the 3rd showing of the third movie. so at 12:15 finishes the 4th one. 10 mins pause. 12:25. well, we have to wait for another 5 mins while the last one (first) starts at 12:30. then more 15 mins to watch the first one, and finish at 12:45. total 2h45m. in minutes, 165. A
Re: A museum offers four video programs that run continuously   [#permalink] 23 Mar 2016, 19:21
Similar topics Replies Last post
Similar
Topics:
18 A company’s four cars running 10 hrs a day consume 1200 lts of fuel in 11 09 Sep 2015, 02:13
5 Running around Circles 10 19 May 2011, 11:57
1 Four video shows 3 19 Mar 2011, 06:08
travel agent offers 8 23 Sep 2010, 14:51
30 Twelve identical machines, running continuously at the same 15 31 May 2010, 14:30
Display posts from previous: Sort by

# A museum offers four video programs that run continuously

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.