Question
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 :
JEE Main
Mathematics
Quadratic Equation
2026
JEE Main 2026 (23 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 30 days
- B. 36 days
- C. 24 days
- D. 42 days
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.
Related: Mathematics — Quadratic Equation · All PYQ Banks