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Instructions:
Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.
1 trip is defined as the journey from one city to another.
If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?
  • a)
    15 hours
  • b)
    16.5 hours
  • c)
    17.5 hours
  • d)
    18.5 hours
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Instructions:Alex, Cane and John are three drivers who drive a passeng...
Let’s solve this set by converting the times into 24-hour format.
If they start at 8, 9, 10 hours, they will take 18 hours. If they start at 19, 20, 21 hours, they will take 20 hours. Else, they take 15 hours.
They start at 6:00 hours from Luxembourg. They’ll reach Paris at 21:00 hours.
Let’s represent their trips -
6:00 (P) - 21:00 (L) = 15 hours
22:00 (L) - 13:00 (P) = 15 hours
14:00 (P) - 5:00 (L) = 15 hours
6:00 (L) - 21:00(P) = 15 hours
22:00 (P) - 13:00 (L) = 15 hours
14:00 (L) - 5:00 (P) = 15 hours
6:00(P) -
Now, this cycle will repeat. Since all the trips take 15 hours, the average trip time will also be 15 hours.
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Instructions:Alex, Cane and John are three drivers who drive a passeng...
Solution:

Given, the time it takes for the drivers to travel between Paris and Luxembourg depends on their starting times at the originating city.

If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities.

If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities.

If they start at any other time, it takes them 15 hours to travel between the two cities.

Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.

We need to find the average time per trip for their first 25 trips if they start at 6:00 AM from Luxembourg.

Let's consider the three different starting times and the time taken for a single trip between Paris and Luxembourg:

- Starting at 8:00 AM, 9:00 AM or 10:00 AM: 18 hours for a single trip
- Starting at 7:00 PM, 8:00 PM or 9:00 PM: 20 hours for a single trip
- Starting at any other time: 15 hours for a single trip

Since they start at 6:00 AM from Luxembourg, the first trip will take 15 hours as it is not one of the peak hours.

After reaching Paris, they take rest for 1 hour and then start their return journey to Luxembourg.

For the second trip, they start from Paris at one of the peak hours, so it will take 18 hours for the trip.

Similarly, for the third trip, they start at any other time, so it will take 15 hours for the trip.

We can observe that this pattern repeats after every three trips.

So, the first 25 trips can be divided into 8 sets of three trips each and one additional trip.

The time taken for each set of three trips is:

- 15 + 18 + 15 = 48 hours
- 15 + 20 + 15 = 50 hours
- 18 + 15 + 18 = 51 hours
- 20 + 15 + 20 = 55 hours
- 15 + 18 + 15 = 48 hours
- 15 + 20 + 15 = 50 hours
- 18 + 15 + 18 = 51 hours
- 20 + 15 + 20 = 55 hours

For the additional trip, they start at any other time, so it will take 15 hours for the trip.

Adding up the time taken for all the 25 trips, we get:

48 + 50 + 51 + 55 + 48 + 50 + 51 + 55 + 15 = 373 hours

The average time per trip for the first 25 trips is:

(373 hours) / (25 trips) = 14.92 hours ≈ 15 hours

Therefore, the correct option is (a) 15 hours.
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Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer?
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Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Instructions:Alex, Cane and John are three drivers who drive a passenger bus, in shifts, from Paris to Luxembourg every day. Due to the heavy traffic at peak hours, the time it takes for them to travel between the two cities depends on their starting times at the originating city. If they start at 8:00 AM, 9:00 AM or 10:00 AM, it takes 18 hours to travel between the two cities. If they start at 7:00 PM, 8:00 PM or 9:00 PM, it takes them 20 hours to travel between the two cities. If they start at any other time, it takes them 15 hours to travel between the two cities. Each time they reach their destination city, they take rest for 1 hour before proceeding to the next city.1 trip is defined as the journey from one city to another.If they start at 6:00 AM from Luxembourg, what is the average time per trip for their first 25 trips?a)15 hoursb)16.5 hoursc)17.5 hoursd)18.5 hoursCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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