Answer :
Answer:
3.75 hours
Step-by-step explanation:
Using the relation
Distance = speed × time
Change Jasmine's speed into an improper fraction
9 [tex]\frac{3}{10}[/tex] = [tex]\frac{93}{10}[/tex], then
distance = [tex]\frac{93}{10}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{93}{4}[/tex] miles
To calculate Lucy's time over the same distance use
Time = [tex]\frac{distance}{speed}[/tex]
Change speed to an improper fraction
6 [tex]\frac{1}{5}[/tex] = [tex]\frac{31}{5}[/tex], hence
time = [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