UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A, B, and C can do a piece of work in 11 days, 20 days, and 55 days respectively. How soon can the work be done if A is...
Type: MCQ • Marks: 1
A, B, and C can do a piece of work in 11 days, 20 days, and 55 days respectively. How soon can the work be done if A is assisted by B and C on alternate days?
Options
A. 1) 7 days
B. 2) 9 days
C. 3) 8 days
D. 4) 10 days
Explanation
Total work = LCM(11, 20, 55) = 220 units. Efficiencies: A = 20, B = 11, C = 4. Day 1 (A+B) = 31 units. Day 2 (A+C) = 24 units. 2-day work = 55 units. Number of 2-day cycles = 220 / 55 = 4. Total days = 4 * 2 = 8 days.
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