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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to

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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to  [#permalink]

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New post 03 Aug 2018, 10:40
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Question Stats:

65% (02:00) correct 35% (02:04) wrong based on 466 sessions

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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to Atlanta departed at equally spaced times and all flights to New York City departed at equally spaced times. A flight to Atlanta and a flight to New York City both departed from Airport X at 1:00 p.m. yesterday. Between 1:00 p.m. and 3:00 p.m. yesterday, did another pair of flights to these 2 cities depart from Airport X at the same time?

(1) Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
(2) Yesterday at Airport X, flights to New York City departed every 15 minutes between 9:00 a.m. and 6:00 p.m.


NEW question from GMAT® Quantitative Review 2019


(DS15938)

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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to  [#permalink]

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New post 04 Aug 2018, 03:18
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Bunuel wrote:
Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to Atlanta departed at equally spaced times and all flights to New York City departed at equally spaced times. A flight to Atlanta and a flight to New York City both departed from Airport X at 1:00 p.m. yesterday. Between 1:00 p.m. and 3:00 p.m. yesterday, did another pair of flights to these 2 cities depart from Airport X at the same time?

(1) Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
(2) Yesterday at Airport X, flights to New York City departed every 15 minutes between 9:00 a.m. and 6:00 p.m.


NEW question from GMAT® Quantitative Review 2019


(DS15938)


Given departure timeline:- 9:00 a.m.- 6:00 p.m
Simultaneous departure:- 1.00 p.m.
Flight departure restriction:- At equal intervals

Question stem:- Is there any simultaneous departure between 1:00 p.m. and 3:00 p.m. yesterday ?

Missing information:- 1)1st departure time of flights(both type) at Airport X. (because this is the key parameter to ascertain the successive departure time of flights) 2) Magnitude of equal interval for each type of flight(To NYC & To Atlanta).

St1:- Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.

Case-I (say 1st departure at 9:30 a.m. to both the air stations at an equal interval of 30 min)
Flight to Atlanta--------------------------------Flight to NYC
9:30 a.m.------------------------------------------9:30a.m.
10:00 a.m.----------------------------------------10:00 am
.
.
1:00 p.m.----------------------------------------1.00 p.m.
1:30 p.m.----------------------------------------2:00 p.m.
so on till 6p.m.
There were simultaneous departures between 1:00 p.m. and 3:00 p.m.

Case-II (say 1st departure at 9:30 a.m. to Atlanta at an interval of 30 min and 1st departure at 10 a.m. to NYC at an equal interval of 3hr)
Flight to Atlanta--------------------------------Flight to NYC
9:30 a.m.------------------------------------------10:00a.m.
10:00 a.m.----------------------------------------1:00 p.m.
.
.
1:00 p.m.----------------------------------------4.00 p.m.
1:30 p.m.
so on till 6p.m.
There were no simultaneous departures between 1:00 p.m. and 3:00 p.m.

Case-III (say 1st departure at 10:00 a.m. to both the air stations at an equal interval of 3 hours)
Flight to Atlanta--------------------------------Flight to NYC
10:00 a.m.------------------------------------------10:00 a.m.
1:00 p.m.----------------------------------------1:00 p.m.
4:00 p.m.----------------------------------------4:00 p.m.
There were no simultaneous departures between 1:00 p.m. and 3:00 p.m.
Therefore, insufficient.

St2:- Yesterday at Airport X, flights to New York City departed every 15 minutes between 9:00 a.m. and 6:00 p.m
Case-I (say 1st departure at 9:15 a.m. to both the air stations at an equal interval of 15 min)
Flight to Atlanta--------------------------------Flight to NYC
9:15 a.m.------------------------------------------9:15a.m.
.
.
1:00 p.m.----------------------------------------1.00 p.m.
1:15 p.m.----------------------------------------1:15 p.m.
1:30 p.m.----------------------------------------1:30 p.m.
1:30 p.m.----------------------------------------2:00 p.m.
so on till 6p.m.
There were simultaneous departures between 1:00 p.m. and 3:00 p.m.

Case-II (say 1st departure at 10 a.m. to Atlanta at an interval of 3hours and 1st departure @9:15 a.m. to NYC at an equal interval of 15 min)
Flight to Atlanta--------------------------------Flight to NYC
10:00 a.m.------------------------------------------9:15 a.m.
1:00 p.m.-----------------------------------9:30 a.m.
.
.
4:00pm-----------------------------------------------1:00 p.m

There were no simultaneous departures between 1:00 p.m. and 3:00 p.m.

Insufficient.

Combining, we have the same situation as depicted in st1 and st2. We are still searching for the missing info.

Therefore, insufficient.

(E)
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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to  [#permalink]

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New post 08 Sep 2018, 08:39
1
Here is a simple explanation.

Given :
- Flights depart between 9:00 a.m to 6:00 p.m
- A flight to Atlanta and a flight to New York City both departed from Airport X at 1:00 p.m yesterday.
- Flights depart at regular intervals to their respective places.

To find: Was there any simultaneous departure between 1:00 p.m. and 3:00 p.m. yesterday ?

Data needed :
- At what time the flights start their first departure.
- What are the respective flight time intervals.

Statement(1)
Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
We have no information about the minimum data that we need. The time intervals could be anything.
Case 1: If atlanta flight departed at 10am and the next one at 1pm (from given) then time interval could be 3 hrs for the atlanta flight. And might not even be any atlanta flight between 1pm and 3pm.
Case 2: If atlanta has 1 hr time intervals then there will be another flight between 1pm and 3pm but we have no idea about the New york flight intervals. Maybe it has 4 hrs intervals or less even.

Statement(2) Yesterday at airport X, Flights to New york departed every 15 minutes between 9am and 6pm.
Okay so now we have time intervals for new york flights but still no idea about atlanta flight or its time interval. Maybe there is just one flight every hour or maybe there are four every hour.


Now both statements together :

Combining all the data we have -
- Flights depart between 9:00 a.m to 6:00 p.m
- A flight to Atlanta and a flight to New York City both departed from Airport X at 1:00 p.m yesterday.
- Flights depart at regular intervals to their respective places.
- A flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
- Flights to New york departed every 15 minutes between 9am and 6pm.
We still do not know the first or starting departure time and the time interval of the Atlanta Flight.

Case 1 - Again Assume Atlanta first flight departed at 10am with 3 hrs intervals which satisfies all the conditions above. And New york flight every 15 minutes between 9am to 6pm. This means there was never another atlanta flight between 1pm and 3pm.
Case 2 - Assume atlanta flight departs every 1 hr starting at 10am. Again all above conditions are satisfied and here we have a more than one chance of the two flights departing simultaneously between 1pm and 3pm.

Since we can have two different cases here. Option E



Hope it helps :)
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Re: Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to  [#permalink]

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New post 17 Apr 2019, 20:35
Can this not mean that if the flight left at 10 am, and given that the interval begins at 9am, there is already an interval period which is shorter than 9 - 10, since that time period exists for it to be a consistent interval ?
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Re: Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to   [#permalink] 17 Apr 2019, 20:35
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