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?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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