GATE ME 2017 Set 2 — Question 62
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General Aptitude → Quantitative Aptitude → Time & Work
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Question
bullocks and 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 bullocks alone to plough the field?
Correct answer
(A) 30
Solution
Let the work rate of one bullock be and one tractor be . Let the total work be .
From the first condition:
---(1)
From the second condition:
---(2)
Equating (1) and (2):
Substitute back into equation (1):
Time taken by bullocks alone = days.
From the first condition:
---(1)
From the second condition:
---(2)
Equating (1) and (2):
Substitute back into equation (1):
Time taken by bullocks alone = days.
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