Q:

It takes Kasey 1 2/3 hours to bike the woodlawn trail. It takes her 3 5/6 hours to bike the hammer side trail. How many times as long does it take Kasey to bike the hammer side trail than the woodlawn trail?

Accepted Solution

A:
Answer:The it take Kasey to bike the hammer side  [tex]\frac{69}{30}[/tex] hour times than the wood lawn trail Step-by-step explanation:Given as :Time taken by Kasey to bike the wood lawn trail = 1 [tex]\frac{2}{3}[/tex]  hour                                                                                  = 1 + [tex]\frac{2}{3}[/tex] h                                                                                  = [tex]\frac{5}{3}[/tex] hour Time taken by Kasey to bike the hammer side trail = 3 [tex]\frac{5}{6}[/tex]  h                                                                                     = 3 + [tex]\frac{5}{6}[/tex]                                                                                 = [tex]\frac{23}{6}[/tex] hour Let The time taken to bike the hammer side trail = x × time taken to bike the wood lawn trail Or, [tex]\frac{23}{6}[/tex] hour = x ×  [tex]\frac{5}{3}[/tex] hour Or, x = [tex]\frac{23\times 3}{6\times 5}[/tex] Or, x = [tex]\frac{69}{30}[/tex] hour Hence The it take Kasey to bike the hammer side  [tex]\frac{69}{30}[/tex] hour times than the wood lawn trail .    Answer