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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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?
  • a)
    48
  • b)
    33
  • c)
    50
  • d)
    32
Correct answer is option 'B'. 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.
Let’s compute their trip times.
14:00 (L) - 5: 00 (P)
6: 00 (P) - 21: 00 (L)
22:00 (L) - 13:00 (P)
14:00 (P) - 5:00 (L)
6:00 (L) - 21:00 (P)
22:00(P) - 13:00 (L)
This cycle will repeat itself.
In each cycle they will start twice between 1:00 PM and 11:00 PM from Paris.
The cycle will repeat 16 times. Thus, 32 times they will start between the given times.
Further, in the next 4 trips, they’ll start once. Thus, they’ll start 33 times.
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Community Answer
Instructions:Alex, Cane and John are three drivers who drive a passeng...
Given information:
- Alex, Cane, and John drive a passenger bus from Paris to Luxembourg every day.
- The time it takes for them to travel between the two cities depends on their starting times.
- If they start at 8:00 AM, 9:00 AM, or 10:00 AM, it takes 18 hours.
- If they start at 7:00 PM, 8:00 PM, or 9:00 PM, it takes 20 hours.
- If they start at any other time, it takes 15 hours.
- They take rest for 1 hour at their destination city.
- 1 trip is defined as the journey from one city to another.
- They start at 2:00 PM from Luxembourg.

To find:
- How many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?

Approach:
- We need to find out the starting times from Paris between 1:00 PM and 11:00 PM for the first 100 trips.
- We can use the given information to calculate the time taken for each trip and the starting time for each trip.
- We can then count the number of trips that start between 1:00 PM and 11:00 PM.

Calculation:
- They start at 2:00 PM from Luxembourg and take 1 hour of rest, so their next trip will start at 3:00 PM.
- The time taken for this trip will be 15 hours, so they will reach Paris at 6:00 AM.
- From Paris, the next trip can start at 8:00 AM, 9:00 AM, or 10:00 AM, depending on the starting time.
- If the next trip starts at 8:00 AM, it will take 18 hours, and they will reach Luxembourg at 2:00 AM the next day.
- If the next trip starts at 9:00 AM or 10:00 AM, it will take 15 hours, and they will reach Luxembourg at 12:00 AM (midnight) the same day.
- If they start at any other time, it will take 15 hours, and they will reach Luxembourg at some time between 1:00 PM and 11:00 PM.
- Let's assume they start at 10:00 AM from Paris, so they will reach Luxembourg at 12:00 AM (midnight) the same day.
- From Luxembourg, the next trip can start at 7:00 PM, 8:00 PM, or 9:00 PM, depending on the starting time.
- If the next trip starts at 7:00 PM or 8:00 PM, it will take 20 hours, and they will reach Paris at 4:00 PM the next day.
- If the next trip starts at 9:00 PM, it will take 15 hours, and they will reach Paris at 12:00 PM (noon) the next day.
- If they start at any other time, it will take 15 hours, and they will reach Paris at some time between 1:00 PM and 11:00 PM.

Using the above information, we can calculate the starting times for the first few trips as follows:

Trip 1: Starts at 2:00 PM from Luxembourg, reaches Paris
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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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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.
Here you can find the meaning 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. 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 2: 00 PM from Luxembourg, how many times will they start between 1:00 PM and 11:00 PM from Paris in their first 100 trips?a)48b)33c)50d)32Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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