73.
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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
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30 days
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40 days
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60 days
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70 days
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Answer: Option C
Explanation:
Let A's 1 day's work = x and B's 1 day's work = y.
Then, x + y =
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1
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and 16x + 44y = 1.
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30
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Solving these two equations, we get: x =
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1
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and y =
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1
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60
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60
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B's 1 day's work =
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1
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.
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60
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Hence, B alone shall finish the whole work in 60 days.