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

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

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New post 18 Jun 2011, 20:59
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Question Stats:

62% (01:40) correct 38% (02:43) wrong based on 39 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
[Reveal] Spoiler: OA
Manager
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Re: Greatest Value Problem [#permalink]

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New post 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 .
Answer is C.
Hope it helps!
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Re: Greatest Value Problem [#permalink]

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

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New post 15 Mar 2018, 10:16
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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

Answer: C
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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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