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Question

Anita is 1100% more efficient than Veena. If Veena can do (1/24)th part of work in six days, then Anita alone can complete the work in_______days. If Anita works at 120% of his original efficiency and Veena works at 360% of his efficiency then they together will take______ days to complete the work.The following options is possible for the two blanks in the same order?

A 19 and 12 Correct Answer Incorrect Answer
B 10 and 8 Correct Answer Incorrect Answer
C 12 and 8 Correct Answer Incorrect Answer
D 22 and 12 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

ATQ, Let us assume that Veena takes 'v' days to complete the work.  One days work of Anita will be  = ((100 + 1100)/100) × (1/v) = (12/v) Anita takes (v/12) days to complete the work. [1/(24 × 6)] = (1/v)  v = 144 days Anita takes 12 days and veena takes 144 days to complete the work. [(120/100) × (1/12)] + [(360/100) × (1/144)] = (1/8) = Anita with 120% of her efficiency and veena with 360% of his efficiency they together can complete the work in 8 days.  Hence the two blanks are 12, 8

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