UP TGT Mathematics Commercial Mathematics Test Series - Part 4

A and B can complete a work in 12 days and 18 days respectively. A begins to do the work and they work on alternate days...

Type: MCQ • Marks: 1
A and B can complete a work in 12 days and 18 days respectively. A begins to do the work and they work on alternate days. If A works on the first day, in how many days will the work be completed?
Options
A. 1) 14.33 days
B. 2) 15 days
C. 3) 14.5 days
D. 4) 14 days
Explanation
Total work = 36 units. Efficiency: A = 3, B = 2. 2-day work = 5 units. 7 cycles (14 days) work = 35 units. Remaining work = 1 unit. On day 15, A works with efficiency 3. Time = 1/3 day. Total time = 14.33 days (14 and 1/3 days).
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