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JEE Main202623 January 2026Morning ShiftMathematicsQuadratic EquationActual

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will complete the construction work in :

Options

  1. A30 days
  2. B36 days
  3. C24 days
  4. D42 days

Correct answer

B. 36 days

Step-by-step solution

Let A take a days and B take a + 24 days. Together: 1 a + 1 a+24 = 1 22.5 = 2 45 . 2a+24 a(a+24) = 2 45 45(2a+24) = 2a(a+24) 90a + 1080 = 2a^2 + 48a a^2 - 21a - 540 = 0 (a-36)(a+15) = 0 a = 36 . Mason A alone completes the work in 36 days.

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