Smita can finish a work in 12 days and Shyam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?
Smita can finish a work in 12 days and Shyam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?
Aa) 1/7
Bb) 5/9
Cc) 2/9
Dd) 3/ 4
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Correct answer is: 2/9
Explanation:
Smita can finish a work in 12 days
Per day work of Smita = 1/12
Shyam can finish the same work in 9 days
Per day work of Shyam = 1/9
Per day work done if both work together = 1/12 + 1/9
\(=\frac{ 3+4 }{36}\)
\(= \frac{7}{36}\)
If they work for 4 days \(= 4 \times \frac{7}{36}\)
\(= \frac{7}{9}\)
Remaining unfinished work \(= 1 - \frac{7}{9}\)
\(= \frac{2}{9}\)
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