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Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.
The value of p + q is
- a)4
- b)5
- c)6
- d)7
- e)8
Correct answer is option 'D'. Can you explain this answer?
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Directions for Questions A truck travelled from town A to town B over...
It is given that p and q are natural numbers and the distance traveled is ¾.
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Hence, the total distance is multiple of 7 [3+4]
Hence, p + q should also be multiple of 7
Hence, option 4
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Directions for Questions A truck travelled from town A to town B over...
Given information:
- The truck travelled from town A to town B over several days.
- On the first day, it covered 1/p of the total distance, where p is a natural number.
- On the second day, it travelled 1/q of the remaining distance, where q is a natural number.
- On the third day, it travelled 1/P of the distance remaining after the second day.
- On the fourth day, it travelled 1/q of the distance remaining after the third day.
- By the end of the fourth day, the truck had travelled 3/4 of the distance between A and B.
To find: The values of p and q.
Solution:
Let's assume the total distance between town A and town B is D.
On the first day, the truck covered 1/p of the total distance, which is D/p.
After the first day, the remaining distance is D - D/p = (Dp - D)/p = D(p - 1)/p.
On the second day, the truck travelled 1/q of the remaining distance, which is (D(p - 1)/p)(1/q) = D(p - 1)/(pq).
After the second day, the remaining distance is (D(p - 1)/(pq)) - D(p - 1)/p = (D(p - 1)(p - q))/(pq).
On the third day, the truck travelled 1/P of the distance remaining after the second day, which is (D(p - 1)(p - q))/(pq)(1/P) = D(p - 1)(p - q)/(Ppq).
After the third day, the remaining distance is (D(p - 1)(p - q)/(Ppq)) - (D(p - 1)(p - q)/(pq)) = (D(p - 1)(p - q)(q - P))/(Ppq).
On the fourth day, the truck travelled 1/q of the distance remaining after the third day, which is (D(p - 1)(p - q)(q - P))/(Ppq)(1/q) = D(p - 1)(p - q)(q - P)/(Ppq).
By the end of the fourth day, the truck had travelled 3/4 of the total distance, which is (3/4)D.
Therefore, we have the equation:
D - D/p - D(p - 1)/(pq) - D(p - 1)(p - q)/(Ppq) - D(p - 1)(p - q)(q - P)/(Ppq) = (3/4)D.
Simplifying the equation, we get:
1 - 1/p - (p - 1)/(pq) - (p - 1)(p - q)/(Ppq) - (p - 1)(p - q)(q - P)/(Ppq) = 3/4.
Now, let's consider the options given:
a) p = 4, q = ?
b) p = 5, q = ?
c) p = 6, q = ?
d) p = 7, q = ?
e) p = 8, q = ?
We substitute the values of p and q from each option into the equation and check which option satisfies the equation.
After substituting
- The truck travelled from town A to town B over several days.
- On the first day, it covered 1/p of the total distance, where p is a natural number.
- On the second day, it travelled 1/q of the remaining distance, where q is a natural number.
- On the third day, it travelled 1/P of the distance remaining after the second day.
- On the fourth day, it travelled 1/q of the distance remaining after the third day.
- By the end of the fourth day, the truck had travelled 3/4 of the distance between A and B.
To find: The values of p and q.
Solution:
Let's assume the total distance between town A and town B is D.
On the first day, the truck covered 1/p of the total distance, which is D/p.
After the first day, the remaining distance is D - D/p = (Dp - D)/p = D(p - 1)/p.
On the second day, the truck travelled 1/q of the remaining distance, which is (D(p - 1)/p)(1/q) = D(p - 1)/(pq).
After the second day, the remaining distance is (D(p - 1)/(pq)) - D(p - 1)/p = (D(p - 1)(p - q))/(pq).
On the third day, the truck travelled 1/P of the distance remaining after the second day, which is (D(p - 1)(p - q))/(pq)(1/P) = D(p - 1)(p - q)/(Ppq).
After the third day, the remaining distance is (D(p - 1)(p - q)/(Ppq)) - (D(p - 1)(p - q)/(pq)) = (D(p - 1)(p - q)(q - P))/(Ppq).
On the fourth day, the truck travelled 1/q of the distance remaining after the third day, which is (D(p - 1)(p - q)(q - P))/(Ppq)(1/q) = D(p - 1)(p - q)(q - P)/(Ppq).
By the end of the fourth day, the truck had travelled 3/4 of the total distance, which is (3/4)D.
Therefore, we have the equation:
D - D/p - D(p - 1)/(pq) - D(p - 1)(p - q)/(Ppq) - D(p - 1)(p - q)(q - P)/(Ppq) = (3/4)D.
Simplifying the equation, we get:
1 - 1/p - (p - 1)/(pq) - (p - 1)(p - q)/(Ppq) - (p - 1)(p - q)(q - P)/(Ppq) = 3/4.
Now, let's consider the options given:
a) p = 4, q = ?
b) p = 5, q = ?
c) p = 6, q = ?
d) p = 7, q = ?
e) p = 8, q = ?
We substitute the values of p and q from each option into the equation and check which option satisfies the equation.
After substituting
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Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. 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 Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer?.
Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. 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 Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions for Questions 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 the third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B.The value of p + q isa) 4b) 5c) 6d) 7e) 8Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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