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# A, B, C, D, and E are airline pilots with very busy travel schedules.

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Joined: 02 Sep 2009
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A, B, C, D, and E are airline pilots with very busy travel schedules.  [#permalink]

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29 Nov 2019, 01:33
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Difficulty:

75% (hard)

Question Stats:

36% (02:14) correct 64% (02:23) wrong based on 22 sessions

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A, B, C, D, and E are airline pilots with very busy travel schedules. Given that D is able to meet at any time that B cannot meet, do the schedules of A, B, C, D, and E allow three of these five individuals to meet together for two uninterrupted hours?

(1) Pilots A and C, who cannot meet together, are not able to end any meeting during the AM hours of any weekday.

(2) Pilots B and E, who can never meet for longer than 2 uninterrupted hours, are only available to meet for two straight hours starting at 10:30 PM on any weekday and not ending during the AM hours of any weekend day.

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A, B, C, D, and E are airline pilots with very busy travel schedules.  [#permalink]

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29 Nov 2019, 09:01
Statement 1- We have no idea about schedule of B, D and E .

Statement- 2 We have no idea about schedule A, C and D

Combining both statements

Any 2-hour meeting that involves B and E must end during AM hours on weekdays; hence, neither B or E can meet A and C. Also, A and C can't meet together.

Only possible combination of three pilots who can meet for two uninterrupted hours is B, D and E. But we have no idea about the schedule of D when B is available.

IMO E (tricky one )

Bunuel wrote:
A, B, C, D, and E are airline pilots with very busy travel schedules. Given that D is able to meet at any time that B cannot meet, do the schedules of A, B, C, D, and E allow three of these five individuals to meet together for two uninterrupted hours?

(1) Pilots A and C, who cannot meet together, are not able to end any meeting during the AM hours of any weekday.

(2) Pilots B and E, who can never meet for longer than 2 uninterrupted hours, are only available to meet for two straight hours starting at 10:30 PM on any weekday and not ending during the AM hours of any weekend day.

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A, B, C, D, and E are airline pilots with very busy travel schedules.  [#permalink]

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29 Nov 2019, 12:24
Bunuel wrote:
A, B, C, D, and E are airline pilots with very busy travel schedules. Given that D is able to meet at any time that B cannot meet, do the schedules of A, B, C, D, and E allow three of these five individuals to meet together for two uninterrupted hours?

(1) Pilots A and C, who cannot meet together, are not able to end any meeting during the AM hours of any weekday.

(2) Pilots B and E, who can never meet for longer than 2 uninterrupted hours, are only available to meet for two straight hours starting at 10:30 PM on any weekday and not ending during the AM hours of any weekend day.

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Analyzing the question:
Let's start with "D is able to meet at any time that B cannot meet." This means during ANY TIME we have either D or B available. We can take them out of the picture now since the question is asking if we can get three people to meet. Now we can just focus on A, C, and E. We now want to know if any of those two can meet simultaneously.

Statement 1:
A and C cannot meet simultaneously. Insufficient alone since A and C cannot meet while we don't know E's schedule.

Statement 2:
Our focus was on A, C, and E and this statement only mentioned B and E. Only the information on E is useful, insufficient alone.

Combined:
Out of A, C, and E, we only know the details of the availability of E. Since we cannot confirm when A and C are available, combining information is still insufficient.

Ans: E
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A, B, C, D, and E are airline pilots with very busy travel schedules.   [#permalink] 29 Nov 2019, 12:24
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