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X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5 days to plough the same field. How many days will it take X bullocks alone to plough the field?
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- 30
- 35
- 40
- 45
Correct Option: A
Let the total work be 40 units i.e. LCM of 8 and 5 days.
x + y = 40/8.... (i)
and (x/2) + 2y = 40/5 ....(ii)
Solving (i) and (ii) we get x = 4/3.
Hence, x alone can do the work in 30 days