Question

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

Answer 1

3.75 hours

Explanation:

Using the relation

Distance = speed × time

Change Jasmine's speed into an improper fraction

9
`(3)/(10)` =
`(93)/(10)`, then

distance =
`(93)/(10)` ×
`(5)/(2)` =
`(93)/(4)` miles

To calculate Lucy's time over the same distance use

Time =
`(distance)/(speed)`

Change speed to an improper fraction

6
`(1)/(5)` =
`(31)/(5)`, hence

time =
`((93)/(4) )/((31)/(5) )`

=
`(93)/(4)` ×
`(5)/(31)` ( cancel 93 and 31 )

=
`(3(5))/(4)`

=
`(15)/(4)` = 3.75 hours