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An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
Problem Solving Question: 168 Category:Arithmetic Operations on rational numbers Page: 84 Difficulty: 600
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Re: An airline passenger is planning a trip that involves three [#permalink]
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17 Mar 2014, 00:14
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SOLUTION
An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
A --> B, takes 90 minutes, at 8:00 a.m., 9:00 a.m., ... B --> C, takes 70 minutes, at 8:00 a.m., 8:20 a.m. 8:40 a.m., ..., 9:40 a.m., ... C --> ?, every 60 minutes, at 8:45 a.m., 9:45 a.m., 10:45 a.m., 11:45 a.m., ...
If passenger takes 8:00 a.m. flight from A: 10 minutes between flights in B from 9:30 a.m. to 9:40 a.m. 55 minutes between flights in C from 10:50 a.m. to 11:45 a.m..
Re: An airline passenger is planning a trip that involves three [#permalink]
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17 Mar 2014, 05:17
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The guy takes 8:00 am flight and will reach airport B in 3/2 hours i.e. \(\frac{3*60}{2}\) = 90 mins = 1 hour 30 mins (you can also just make the base 60 3/2 = 3*30/2*30 = 90/60 = 90 mins or 1 hour 20 mins) So he reaches airport B at 9:30 am. 20 mins/flight starting from 8:00 am 8:00 8:20 8:40 9:00 9:20 9:40 and so on So the next flight he can catch is the 9:40 am flight. TIME WASTED = 10 mins
The guy takes 9:40 am flight will reach airport C in 7/6 hours i.e. 70 mins So he reaches airport B at 10:50 am. 60 mins/flight starting from 8:45 am 8:45 9:45 10:45 11:45 and so on So the next flight he can catch is the 11:45 am flight. TIME WASTED = 55 mins
Total = 65 mins = 1 hour 5 mins
Answer B Time Taken 4:08 Difficulty level 650 (just because it is lengthy)
Depart from A................. 0800 Arrive at B ..................... 0930 Depart from B................. 0940 Arrive at C...................... 1050 Depart at C.................... 1145
Total time spent between departures & arrivals at B & C = 10 + 55
Re: An airline passenger is planning a trip that involves three [#permalink]
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18 Mar 2014, 07:37
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An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
Since the question asks about total time spent by the passenger between flights, it is required to find individual waiting time at Airport B and C.
Arrival at Airport A : 8:45 a.m. Flight leaves at 9:00 a.m.
Arrival at Airport B : 9:00 a.m. + Flight Time = 9:00 + 3/2 hrs = 10:30 a.m. Flight leaves every 20 minutes, beginning at 8:00 a.m. Connecting flight to Airport C after 10:30 a.m. leaves at 10:40 a.m. Waiting time at Airport B = 10:40 a.m. - 10:30 a.m. = 10 mins
Arrival at Airport C : 10:40 a.m. + Flight Time = 10:40 a.m. + 7/6 hrs = 11:50 a.m. Flight leaves every hour, beginning at 8:45 a.m. Connecting flight from Airport C after 11:50 a.m. leaves at 12:45 a.m. Waiting time at Airport B = 12:45 a.m. - 11:50 a.m. = 55 mins
So, total waiting time = 10 mins + 55 mins = 1 hour 05 mins
Re: An airline passenger is planning a trip that involves three [#permalink]
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18 Mar 2014, 12:57
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First convert the numbers to minutes. 3/2 hours = 90 minutes and 7/6 hours = 70 minutes.
Next, notice that no matter when the flight from A is taken, there is always going to be at least a 10 minute wait at B. So no point delaying at A. Take the 8:00am flight out to arrive at 9:30am at B.
Next, notice that even if you take the earliest flight (9:40am) out of B, you still arrive at C too late to get the 10:45am from C. So the earliest flight you can take from C is the 11:45am one. So you have to spend the 135 minutes of time between 9:30am and 11:45am such that 70 minutes of it is spent in the air (in the flight from B to C). No matter which way you do it, you end up with 135-70 minutes = 1 hour 5 minutes of minimum waiting.
Re: An airline passenger is planning a trip that involves three [#permalink]
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20 Mar 2014, 11:30
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I too got B
Solution: Flight A timings: 8 AM, 9AM, 10AM . . . Duration to reach B:90 Mins. So first flight reaches B at 9:30 AM
Flight B Timings:8:20 AM, 8:40, 9, 9:20, 9:40,. . . . Duration to reach C: 70 Mins. So Flight reaches C at 11:50 AM Passengers from Flight A have to wait 10Mins to catch Flight at B
Flight C timings: 8:45AM, 9:45AM, 10:45AM, 11:45AM, 12:45 . . . So Passengers have to wait 55Mins to catch flight at C.
So total wait time = 10 Mins + 55 Mins = 1 Hr 5 Mins
An airline passenger is planning a trip that involves three [#permalink]
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24 Nov 2015, 03:22
Arrives........Waits........Leaves A 8a.............0..............8a B 9:30a.......10mins.......9:40a (flights every 20mins) C 10:50a.....55mins.......11:45a (flights every hour starting at 8:45) Total ..........65mins
Ans:B
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Re: An airline passenger is planning a trip that involves three [#permalink]
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07 Dec 2015, 17:29
DJ1986 wrote:
I made a chart a lot like Paresh did and it took me 3minutes and 50 seconds to do this problem
yea, it took me 3minutes plus to figure out this problem. I wonder if there's any faster way to do questions like these, or is this one of those questions that we are expected to spend extra time.
Re: An airline passenger is planning a trip that involves three [#permalink]
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25 Jan 2018, 03:46
The question for the least amount of time that the passenger must wait between flights. I agree that he spends 65 minutes between flights.
Everyone who posted started from 8:00 am.
I was wondering whether taking different flight from airport A will lead to different waiting amounts. What if he takes 12:00 AM flight from airport A. Do I have to check other starting points?
Re: An airline passenger is planning a trip that involves three [#permalink]
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25 Jan 2018, 05:32
kablayi wrote:
The question for the least amount of time that the passenger must wait between flights. I agree that he spends 65 minutes between flights.
Everyone who posted started from 8:00 am.
I was wondering whether taking different flight from airport A will lead to different waiting amounts. What if he takes 12:00 AM flight from airport A. Do I have to check other starting points?
Good question.
Note that the flight at airport A starts every hour. A : 8:00, 9:00, 10:00, 11:00, 12:00 ...
Also, every hour is the same at the other two airports. B : 8:00, 8:20:8:40, 9:00, 9:20, 9:40, 10:00, 10:20, 10:40 ... C : 8:45, 9:45, 10:45, 11:45
So it doesn't matter at which hour you start. Your travel schedule will look exactly the same. Had the hours looked a bit different such as B : 8:00, 8:40, 9:20, 10:00, 10:40, 11:20 ... we would have had to give it more thought.
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Re: An airline passenger is planning a trip that involves three [#permalink]
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25 Jan 2018, 07:29
Bunuel wrote:
An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
Attachment:
Capture.PNG [ 9.26 KiB | Viewed 1009 times ]
Time spent at Airport B for going to Airport C = 10 Minutes Time spent at Airport C for going to destination = 55 Minutes So, The total time spent waiting at airports is 65 minutes or 1 Hour and 5 Minutes, Answer must be (B) _________________
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An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
Notice that the flight from Airport A to Airport B takes 3/2 hours = 90 minutes (or 1 hour 30 minutes) and the flight from Airport B to Airport C takes 7/6 hours = 70 minutes (or 1 hour 10 minutes).
Let’s say the first flight leaves A at 8 am; it would then arrive at B at 9:30 am. Then we have to wait 10 minutes since the next flight would leave B at 9:40 am and arrive at airport C 1 hour and 10 minutes later, or at 10:50 am. However, we have to wait 55 minutes since the next flight would leave C at 11:45 am. Thus, in this case we have to wait a total of 10 + 55 = 65 minutes or 1 hour 5 minutes. This is answer choice B.
Looking at the answer choices, we see there is only one answer choice with a waiting time less than 1 hour 5 minutes. However, there is no way we can wait for the connecting flight for as little as 25 minutes (which is choice A). For example, when we arrive at Airport B at 9:30 am, if we don’t take the 9:40 am flight, then the next flight leaving from B is at 10 am, which means we have to wait 30 minutes already. Thus, the least total amount of time we have to wait for the connecting flights is 1 hour 5 minutes (described in the previous paragraph).
Answer: B
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Re: An airline passenger is planning a trip that involves three [#permalink]
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25 Mar 2018, 07:23
Bunuel wrote:
SOLUTION
An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
A --> B, takes 90 minutes, at 8:00 a.m., 9:00 a.m., ... B --> C, takes 70 minutes, at 8:00 a.m., 8:20 a.m. 8:40 a.m., ..., 9:40 a.m., ... C --> ?, every 60 minutes, at 8:45 a.m., 9:45 a.m., 10:45 a.m., 11:45 a.m., ...
If passenger takes 8:00 a.m. flight from A: 10 minutes between flights in B from 9:30 a.m. to 9:40 a.m. 55 minutes between flights in C from 10:50 a.m. to 11:45 a.m..
Total = 10 + 55 = 65 minutes.
Answer: B.
I had some confusion about converting fractions into timing.... 7/6 hours later ..if I divide 7 by 6 I get 1.1666 so thought I should round and got 1.2
Re: An airline passenger is planning a trip that involves three [#permalink]
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25 Mar 2018, 10:04
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dave13 wrote:
Bunuel wrote:
SOLUTION
An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 3/2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 7/6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?
(A) 25 min (B) 1 hr 5 min (C) 1 hr 15 min (D) 2 hr 20 min (E) 3 hr 40 min
A --> B, takes 90 minutes, at 8:00 a.m., 9:00 a.m., ... B --> C, takes 70 minutes, at 8:00 a.m., 8:20 a.m. 8:40 a.m., ..., 9:40 a.m., ... C --> ?, every 60 minutes, at 8:45 a.m., 9:45 a.m., 10:45 a.m., 11:45 a.m., ...
If passenger takes 8:00 a.m. flight from A: 10 minutes between flights in B from 9:30 a.m. to 9:40 a.m. 55 minutes between flights in C from 10:50 a.m. to 11:45 a.m..
Total = 10 + 55 = 65 minutes.
Answer: B.
I had some confusion about converting fractions into timing.... 7/6 hours later ..if I divide 7 by 6 I get 1.1666 so thought I should round and got 1.2
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72% (02:17) correct 
