started the work alone and worked for 24 days and after that ‘N’ is replaced by ‘M’. If the total work is completed in 44 days, find the time taken by ‘M’ to finish the same work alone?
A30 daysCorrect AnswerIncorrect Answer
B36 daysCorrect AnswerIncorrect Answer
C35 daysCorrect AnswerIncorrect Answer
D38 daysCorrect AnswerIncorrect Answer
ENone of theseCorrect AnswerIncorrect Answer
Solution
Let the efficiency of ‘N’ = ‘5x’ units/day Efficiency of ‘M’ = ‘8x’ units/day Time taken by ‘M’ to complete the remaining work = 44 – 24 = 20 days Total work = 24 × 5x + 20 × 8x = 280x units Desired time = 280x/8x = 35 days