CAT Exam > CAT Questions > A truck travelled from town A to town B over...
Start Learning for Free
A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.
If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.
- a)25
- b)30
- c)33
- d)35
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A truck travelled from town A to town B over several days. During the...
To solve this problem, let's break it down step by step.
Given:
Total distance = 100 km
Truck covered 3/4 of the total distance by the end of the fourth day.
Step 1: Understanding the given conditions
According to the given conditions, the truck traveled a fraction of the remaining distance each day. Let's denote the fraction of distance covered on each day as 1/p, 1/q, 1/P, and 1/q respectively.
Step 2: Calculating the distance covered on the fourth day
Since the truck covered 3/4 of the total distance by the end of the fourth day, the remaining distance is 1 - 3/4 = 1/4 of the total distance.
Let's represent the remaining distance after each day as R1, R2, R3, and R4 respectively.
On the fourth day, the truck traveled 1/q of the distance remaining after the third day. Therefore, the distance covered on the fourth day is (1/q) * R3.
Step 3: Calculating the distance remaining after the third day
On the third day, the truck traveled 1/P of the distance remaining after the second day. Therefore, the distance remaining after the third day is R3 = (1 - 1/P) * R2.
Step 4: Calculating the distance remaining after the second day
On the second day, the truck traveled 1/q of the distance remaining after the first day. Therefore, the distance remaining after the second day is R2 = (1 - 1/q) * R1.
Step 5: Calculating the distance remaining after the first day
On the first day, the truck covered 1/p of the total distance. Therefore, the distance remaining after the first day is R1 = (1 - 1/p) * Total distance.
Step 6: Calculating the minimum distance covered on day 1
To find the minimum distance covered on the first day, we need to minimize the distance remaining after the first day (R1). Let's substitute the values from the previous steps into the equation for R1:
R1 = (1 - 1/p) * 100
We need to minimize R1, which means we need to maximize the value of 1/p. Since p is a natural number, the maximum possible value for 1/p is 1/1 = 1.
Therefore, the minimum distance covered on day 1 is:
R1 = (1 - 1/1) * 100 = (1 - 1) * 100 = 0 * 100 = 0 km
However, since the truck traveled at least some distance on the first day, the minimum distance covered on day 1 cannot be 0.
Therefore, the minimum distance that can be covered on day 1 is 0 km, which is equivalent to option A.
Given:
Total distance = 100 km
Truck covered 3/4 of the total distance by the end of the fourth day.
Step 1: Understanding the given conditions
According to the given conditions, the truck traveled a fraction of the remaining distance each day. Let's denote the fraction of distance covered on each day as 1/p, 1/q, 1/P, and 1/q respectively.
Step 2: Calculating the distance covered on the fourth day
Since the truck covered 3/4 of the total distance by the end of the fourth day, the remaining distance is 1 - 3/4 = 1/4 of the total distance.
Let's represent the remaining distance after each day as R1, R2, R3, and R4 respectively.
On the fourth day, the truck traveled 1/q of the distance remaining after the third day. Therefore, the distance covered on the fourth day is (1/q) * R3.
Step 3: Calculating the distance remaining after the third day
On the third day, the truck traveled 1/P of the distance remaining after the second day. Therefore, the distance remaining after the third day is R3 = (1 - 1/P) * R2.
Step 4: Calculating the distance remaining after the second day
On the second day, the truck traveled 1/q of the distance remaining after the first day. Therefore, the distance remaining after the second day is R2 = (1 - 1/q) * R1.
Step 5: Calculating the distance remaining after the first day
On the first day, the truck covered 1/p of the total distance. Therefore, the distance remaining after the first day is R1 = (1 - 1/p) * Total distance.
Step 6: Calculating the minimum distance covered on day 1
To find the minimum distance covered on the first day, we need to minimize the distance remaining after the first day (R1). Let's substitute the values from the previous steps into the equation for R1:
R1 = (1 - 1/p) * 100
We need to minimize R1, which means we need to maximize the value of 1/p. Since p is a natural number, the maximum possible value for 1/p is 1/1 = 1.
Therefore, the minimum distance covered on day 1 is:
R1 = (1 - 1/1) * 100 = (1 - 1) * 100 = 0 * 100 = 0 km
However, since the truck traveled at least some distance on the first day, the minimum distance covered on day 1 cannot be 0.
Therefore, the minimum distance that can be covered on day 1 is 0 km, which is equivalent to option A.
Free Test
FREE
| Start Free Test |
Community Answer
A truck travelled from town A to town B over several days. During the...
Total distance = 100 km
Distance travelled on first day will be minimum when p is maximum i.e. p = 4
Hence, distance travelled on first day = 100/4= 25 km
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer?
Question Description
A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer?.
A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer?.
Solutions for A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct 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.
Here you can find the meaning of A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A truck travelled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. During the third day, it travelled 1/P of the distance remaining after the second day, and during the fourth day, 1/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is kilometres.a)25b)30c)33d)35Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup