1.

1). 62). 93). 44). 10

Answer»

Let Z can do a work in z days.

⇒ Z will do 1/z amount of work in 1 day.

X and Y will do 1/10 and 1/15 amount of work in 1 day.

⇒ Total work done by all three in 1 day = 1/3

⇒ $(\frac{1}{{10}} + \frac{1}{{15}} + \frac{1}{z} = \frac{1}{3})$

⇒ $(\frac{1}{z} = \frac{1}{3} - \frac{1}{{10}} - \frac{1}{{15}} = \frac{{10 - 3 - 2}}{{30}} = \frac{5}{{30}} = \frac{1}{6})$

∴ Z will take 6 days to complete the work alone.



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