‘X’ and ‘Y’ together can complete a work in 10 days, while ‘Y’ and ‘Z’ together can complete the work in 15 days. If ‘Y’ takes 12 days to complete the work alone then find the approximate time taken by all three together to complete 57.5% of work.
A10 daysCorrect AnswerIncorrect Answer
B7 daysCorrect AnswerIncorrect Answer
C14 daysCorrect AnswerIncorrect Answer
D5 daysCorrect AnswerIncorrect Answer
E12 daysCorrect AnswerIncorrect Answer
Solution
Let the total work = 60 units
Efficiency of (X + Y) = 60/10 = 6 units/day
Efficiency of (Y + Z) = 60/15 = 4 units/day
Efficiency of ‘Y’ = 60/12 = 5 units/day
Efficiency of (X + Y + Z) = (6 + 4 – 5) = 5 units/day
Required time taken = (0.575 × 60)/5 = 7 days (approx)
