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

Answer:

No.

Step-by-step explanation:

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

Darius had completed = $\frac{4}{5}$ th of the work

He takes time = $3 \frac{1}{3}$ hours to complete $\frac{4}{5}$ th of the work

The remaining work = $1 -\frac{4}{5}$

                                 $=\frac{5-4}{5}$

                                 $=\frac{1}{5}$

∴  Darius completes $\frac{4}{5}$ th of the work in = $\frac{10}{3}$ hours

                           So, $\frac{1}{5}$ th of the work in = $\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$ hours

                                                                 $=\frac{10}{12}$ hours

Therefore total time taken to complete the work $=\frac{10}{3}+\frac{10}{12}$ hours

                                                                                  $=\frac{40+10}{12}$ hours

                                                                                  $=\frac{50}{12}$ hours

                                                                                  $=4\frac{2}{12}$ hours

                                                                                  $=4\frac{1}{6}$ hours

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