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A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down, and five women get in. Now there are an equal number of men and women. How many passengers boarded the bus initially at Delhi?
- a)36
- b)45
- c)15
- d)30
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A bus leaves Delhi with half the number of women as men. At Meerut, te...
Suppose the number of women boarded the bus at Delhi is,
The number of men = 2x
According to the question,
2x - 10 = x + 5
2x - x = 10 + 5
x = 15
The total number of passengers who boarded the bus initially.
3x = 3*15 = 45
Most Upvoted Answer
A bus leaves Delhi with half the number of women as men. At Meerut, te...
Initial Number of Women and Men
The question states that the number of women initially on the bus is half the number of men. Let's assume the number of women as 'x' and the number of men as '2x'.
Number of Passengers at Delhi
The total number of passengers at Delhi can be calculated by adding the number of women and men. So, the initial number of passengers at Delhi is x + 2x, which is equal to 3x.
Change at Meerut
At Meerut, ten men get down from the bus, which reduces the number of men to 2x - 10. Additionally, five women get in, which increases the number of women to x + 5.
Equal Number of Men and Women
According to the question, the number of men and women after the change at Meerut is equal. So, we can equate the number of men and women.
2x - 10 = x + 5
Solving the equation, we get:
2x - x = 5 + 10
x = 15
Number of Passengers Initially at Delhi
We have found that the initial number of women, x, is 15. Substituting this value in the expression for the number of passengers at Delhi, we get:
3x = 3 * 15 = 45
Therefore, the correct answer is option B, 45 passengers initially boarded the bus at Delhi.
The question states that the number of women initially on the bus is half the number of men. Let's assume the number of women as 'x' and the number of men as '2x'.
Number of Passengers at Delhi
The total number of passengers at Delhi can be calculated by adding the number of women and men. So, the initial number of passengers at Delhi is x + 2x, which is equal to 3x.
Change at Meerut
At Meerut, ten men get down from the bus, which reduces the number of men to 2x - 10. Additionally, five women get in, which increases the number of women to x + 5.
Equal Number of Men and Women
According to the question, the number of men and women after the change at Meerut is equal. So, we can equate the number of men and women.
2x - 10 = x + 5
Solving the equation, we get:
2x - x = 5 + 10
x = 15
Number of Passengers Initially at Delhi
We have found that the initial number of women, x, is 15. Substituting this value in the expression for the number of passengers at Delhi, we get:
3x = 3 * 15 = 45
Therefore, the correct answer is option B, 45 passengers initially boarded the bus at Delhi.
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A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down, and five women get in. Now there are an equal number of men and women. How many passengers boarded the bus initially at Delhi?a)36b)45c)15d)30Correct answer is option 'B'. Can you explain this answer?
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