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Basic System, B takes 1/2 hour to do 1 work
Advanced System, A takes 2 hours to do 1 work

In 1 hour, B will do 2 times work
In 1 hour, A will do 1/2 of work

Working together, in 1 hour, A & B will do 2 + 1/2 = 5/2 times of Work
So, they will finish the work in 2/5 Hours.
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Basic 30 min
Advance 2*60 = 120 min

Let total work = LCM(30,120) = 120 units
Basic work done = 120/30 = 4units/min
Advance work done = 120/120 = 1 Unit/Min
Basic + Advance = 5 units/Min
so, to finish 120 units ==> 120/5 = 24 mins

converting into hours ==> 24/60 = 2/5
So, Ans = C
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