Casey has 5/6 left of a section of sidewalk to clean. If he can clean 5/18 of a section in 1 minute, how long will it take him to clean what is left?

Respuesta :

Answer:

Casey will take 3 minutes to clean [tex]\frac{5}{6}[/tex] part of the section.

Step-by-step explanation:

∵ Casey takes the time to cleans [tex]\frac{5}{18}[/tex] of a section = 1 minute

∴ He will take the time to clean complete section = [tex]\frac{1}{\frac{5}{18} }[/tex]

                                                                                  = [tex]1\times \frac{18}{5}[/tex]

                                                                                   = 3.6 minutes

Now time taken to clean [tex]\frac{5}{6}[/tex] part of the section = [tex]\frac{5}{6}\times 3.6[/tex]

                                                                            = 3 minutes

Therefore, left part of the section will be cleaned by Casey in 3 minutes.