Question

Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius put the titles on the enitre roof in 4 hours if he continues to work at the same rate?

Answer 1

No.

Explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed =
`$(4)/(5)$` th of the work

He takes time =
`$3 (1)/(3)$` hours to complete
`$(4)/(5)$` th of the work

The remaining work =
`$1 -(4)/(5)$`

`$=(5-4)/(5)$`

`$=(1)/(5)$`

∴ Darius completes
`$(4)/(5)$` th of the work in =
`$(10)/(3)$` hours

So,
`$(1)/(5)$` th of the work in =
`$(10)/(3) * (5)/(4) * (1)/(5)$` hours

`$=(10)/(12)$` hours

Therefore total time taken to complete the work
`$=(10)/(3)+(10)/(12)$` hours

`$=(40+10)/(12)$` hours

`$=(50)/(12)$` hours

`$=4(2)/(12)$` hours

`$=4(1)/(6)$` hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.