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A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
- a)15
- b)30
- c)36
- d)45
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A bus starts from city X. The number of women in the bus is half of th...
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 10) = (x + 5) or x - 15.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 45.
Most Upvoted Answer
A bus starts from city X. The number of women in the bus is half of th...
To solve this problem, let's break it down step by step:
Step 1: Assign variables
Let's assign variables to the number of men and women in the bus. Let M represent the number of men and W represent the number of women.
Step 2: Initial conditions
According to the problem, the number of women in the bus is half the number of men. So we can write the equation W = (1/2)M.
Step 3: Changes in city Y
In city Y, 10 men leave the bus and five women enter. So after these changes, the number of men will be M - 10 and the number of women will be W + 5.
Step 4: New conditions
The problem states that after these changes, the number of men and women is equal. So we can write the equation M - 10 = W + 5.
Step 5: Solve the equations
We have two equations:
W = (1/2)M and M - 10 = W + 5.
Substituting the value of W from the first equation into the second equation, we get:
M - 10 = (1/2)M + 5.
Multiply both sides of the equation by 2 to eliminate the fraction:
2(M - 10) = M + 10.
Expanding the equation, we get:
2M - 20 = M + 10.
Subtracting M from both sides of the equation, we get:
M - 20 = 10.
Adding 20 to both sides of the equation, we get:
M = 30.
Step 6: Calculate the number of passengers
Since M represents the number of men, and the problem states that initially the number of men and women is equal, the total number of passengers in the beginning is 2M.
Substituting the value of M, we get:
Total number of passengers = 2(30) = 60.
Therefore, the correct answer is option D) 45 passengers entered the bus in the beginning.
Step 1: Assign variables
Let's assign variables to the number of men and women in the bus. Let M represent the number of men and W represent the number of women.
Step 2: Initial conditions
According to the problem, the number of women in the bus is half the number of men. So we can write the equation W = (1/2)M.
Step 3: Changes in city Y
In city Y, 10 men leave the bus and five women enter. So after these changes, the number of men will be M - 10 and the number of women will be W + 5.
Step 4: New conditions
The problem states that after these changes, the number of men and women is equal. So we can write the equation M - 10 = W + 5.
Step 5: Solve the equations
We have two equations:
W = (1/2)M and M - 10 = W + 5.
Substituting the value of W from the first equation into the second equation, we get:
M - 10 = (1/2)M + 5.
Multiply both sides of the equation by 2 to eliminate the fraction:
2(M - 10) = M + 10.
Expanding the equation, we get:
2M - 20 = M + 10.
Subtracting M from both sides of the equation, we get:
M - 20 = 10.
Adding 20 to both sides of the equation, we get:
M = 30.
Step 6: Calculate the number of passengers
Since M represents the number of men, and the problem states that initially the number of men and women is equal, the total number of passengers in the beginning is 2M.
Substituting the value of M, we get:
Total number of passengers = 2(30) = 60.
Therefore, the correct answer is option D) 45 passengers entered the bus in the beginning.
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A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer?
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A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer?.
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?a)15b)30c)36d)45Correct answer is option 'D'. Can you explain this answer?.
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