UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A and B can do a work in 30 days and 40 days respectively. They started the work together, but A left after some days an...
Type: MCQ • Marks: 1
A and B can do a work in 30 days and 40 days respectively. They started the work together, but A left after some days and B finished the remaining work in 12 days. After how many days did A leave?
Options
A. 1) 16 days
B. 2) 15 days
C. 3) 12 days
D. 4) 18 days
Explanation
Total work = 120 units. Efficiency: A = 4, B = 3. Work done by B alone in last 12 days = 12 * 3 = 36 units. Work done together = 120 - 36 = 84 units. Combined rate = 7 units/day. Days worked together = 84 / 7 = 12 days. Thus A left after 12 days.
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