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?

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

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 $= 1 - \frac{7}{9}$ $= \frac{2}{9}$ rahim ? answered Jan 10 '2020 at 12:17 All Comments

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