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 A man A of mass 80 kg runs up a staircase in 12 seconds. Another man of mass 60 kg runs up the same staircase in 11 seconds. The ratio of powers of A and B is :

  • a)
    11:12

  • b)
    9:11

  • c)
    12:11

  • d)
    11:9

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man A of mass 80 kg runs up a staircase in 12 seconds. Another man o...
According to question, 60 kg man runs up a staircase in 12 sec.


m₁ = 80 kg


t₁ = 12 sec


=> A 50 kg man runs up the same staircase in 11 sec:


m₂ = 60 kg


t₂ = 11 sec


=> Rate of work done is equals to power.


∴ P = E/ t and E = mgh


∴ P₁ = m₁gh / t₁


P₂ = m₂gh/ t₂


=> The ratio of Power or Rate of work done is:


P₁/P₂ = m₁gh / t₁ / m₂gh/ t₂


= m₁ * t₂ / m₂ * t₁


= 80x11/60x12


= 11 : 9


Thus, the ratio of rate of doing their work is 11 : 9.
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A man A of mass 80 kg runs up a staircase in 12 seconds. Another man of mass 60 kg runs up the same staircase in 11 seconds. The ratio of powers of A and B is :a)11:12b)9:11c)12:11d)11:9Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A man A of mass 80 kg runs up a staircase in 12 seconds. Another man of mass 60 kg runs up the same staircase in 11 seconds. The ratio of powers of A and B is :a)11:12b)9:11c)12:11d)11:9Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man A of mass 80 kg runs up a staircase in 12 seconds. Another man of mass 60 kg runs up the same staircase in 11 seconds. The ratio of powers of A and B is :a)11:12b)9:11c)12:11d)11:9Correct answer is option 'D'. Can you explain this answer?.
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