| Alok, Armaan and Arun can do a job in 24, 30 and 60 days, respectively. In how many days can Alok do the Work, if he is assisted by Armaan on one day and Arun on the next day alternately. How long the work would take to finish? |
A) 12 days
B) 15 days
C) 18 days
D) 16 days
Correct Answer: B
Solution :
| (Alok + Armaan)'s 1st day work \[=\frac{1}{24}+\frac{1}{30}=\frac{3}{40}\] |
| (Alok + Arun)'s 2nd day work \[=\frac{1}{24}+\frac{1}{60}=\frac{7}{120}\] |
| 2 day's work\[=\frac{3}{40}+\frac{7}{120}=\frac{2}{15}\]days |
| Whole work is done \[=2\div \frac{2}{15}\] |
| \[=\frac{2\times 15}{2}=15\,\,\text{days}\] |
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