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# At a conference, the only events scheduled for the day are

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Intern
Joined: 18 Jun 2011
Posts: 49
At a conference, the only events scheduled for the day are  [#permalink]

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18 Jun 2011, 20:59
00:00

Difficulty:

65% (hard)

Question Stats:

59% (02:51) correct 41% (03:18) wrong based on 50 sessions

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At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long will the conference last if there are a total of 6 seminars that day?

A)5 hours and 15 minutes
B)5 hours and 20 minutes
C)5 hours and 25 minutes
D)5 hours and 30 minutes
E)5 hours and 35 minutes
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Joined: 11 Feb 2011
Posts: 108
Re: Greatest Value Problem  [#permalink]

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18 Jun 2011, 22:06
Well its like this S B S B S B S B S B S
the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5=150
Time of 1 seminar =150 /3=50 min .
So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 25 min .
Hope it helps!
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Re: Greatest Value Problem  [#permalink]

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19 Jun 2011, 02:34
Let break b of b mins
and let seminar be of s mins.
Given: s=10b
6 seminar in this pattern SBSBSBSBSBS
Total time between of 3 seminars and 2 breaks = 160
3s+2b=160
3(10b)+2b=160
32b=160
b=5. each break is of 5mins
Also, each seminar is 10b mins = 50mins
Therefore, 6 seminars will be of 50*6=300mins
and 5 breaks between 6 seminars will be of 5*5=25mins

Total time = 300+25=325mins= 5 hours 25 mins.

OA C.
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Intern
Joined: 19 Feb 2013
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Re: At a conference, the only events scheduled for the day are s  [#permalink]

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22 Jun 2013, 06:14
Shouldnt the answer be 5 hours 20 mins?

Break = b
Seminar= 10b

9am to 11:40am= 160mins

3s+b=160
30b+b=160
b=160/31

6 seminar will take

6s+2b

=60b+2b

=62b

=62*160/31

=320

=5 hours 20 mins
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Re: At a conference, the only events scheduled for the day are s  [#permalink]

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22 Jun 2013, 07:56
Let each break is for x minutes.
So each seminar is for 10 x minutes.

Here is the schedule of the seminars & breaks

1st Seminar -->Brk-->2nd seminar-->Brk-->3rd seminar-->Brk-->4th seminar-->Brk-->5th seminar-->Brk-->6th seminar
10x --> x --> 10x --> x --> 10x --> x --> 10x --> x --> 10x --> x --> 10x

Now it becomes relatively easier.
1st seminar started at 9 & 3rd ended at 11:40, so time taken is 2 hr (120 min) + 40 min = 160 min
10x+x+10x+x+10x=160 ===> 32x=160 ===>x=5 min

Total time taken = 60x+5x =65x ===>65*5=325 min
Converting into hours = 5 hours 25 minutes (option D)
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Re: At a conference, the only events scheduled for the day are s  [#permalink]

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10 Oct 2013, 20:11
Total Seminars = 6 in a day
So, Breaks = 6-1 = 5 in a day

Let time for Break = x, so time taken for seminar = 10x

First seminar starts @ 0900 & third ends @ 1140, so total time consumed = 160 Mins
There would be 2 breaks between 3 seminars, so

x.2 + 10x.3 = 160
32x = 160;
x = 5 & 10x = 50
Time in seminar = 50 Mins; in break = 5 Mins
Total 6 seminars & 5 breaks = 50 (6) + 5 (5) = 325 Mins
Answer = 5 Hrs 25 Mins
Option C

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Re: At a conference, the only events scheduled for the day are  [#permalink]

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15 Mar 2018, 10:16
1
guygmat wrote:
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long will the conference last if there are a total of 6 seminars that day?

A)5 hours and 15 minutes
B)5 hours and 20 minutes
C)5 hours and 25 minutes
D)5 hours and 30 minutes
E)5 hours and 35 minutes

We can let x = the length, in minutes, of a break; thus, 10x = the length, in minutes, of a seminar. Since the first seminar begins at 9:00 am and the third one ends at 11:40 am, the time elapsed is 2 hours 40 minutes, or 160 minutes. This means that the total length of 3 seminars and 2 breaks is 160 minutes. We can translate this into an equation:

3(10x) + 2x = 160

32x = 160

x = 5

So each break is 5 minutes long and each seminar is 5(10) = 50 minutes long. If a day has a total of 6 seminars, it will have 5 breaks and, thus, a day of 6 seminars and 5 breaks will last

6(50) + 5(5) = 325 minutes = 5 hours 25 minutes

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Re: At a conference, the only events scheduled for the day are   [#permalink] 15 Mar 2018, 10:16
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