Q:

Jasmine finished the bike trail in 2.5 hours at an average rate of 9 3/10 miles per hour. Lucy biked the same trail at a rate of 6 1/5 miles per hour. How long did it take Lucy to bike the trail?Plz explain your awnser

Accepted Solution

A:
Answer:3.75 hoursStep-by-step explanation:Using the relationDistance = speed × timeChange Jasmine's speed into an improper fraction9 [tex]\frac{3}{10}[/tex] = [tex]\frac{93}{10}[/tex], thendistance = [tex]\frac{93}{10}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{93}{4}[/tex] milesTo calculate Lucy's time over the same distance useTime = [tex]\frac{distance}{speed}[/tex]Change speed to an improper fraction6 [tex]\frac{1}{5}[/tex] = [tex]\frac{31}{5}[/tex], hencetime = [tex]\frac{\frac{93}{4} }{\frac{31}{5} }[/tex]        = [tex]\frac{93}{4}[/tex] × [tex]\frac{5}{31}[/tex] ( cancel 93 and 31 )       = [tex]\frac{3(5)}{4}[/tex]       = [tex]\frac{15}{4}[/tex] = 3.75 hours