Question

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far as Jack did. How long was Jim’s trip?

Answer 1

the answer is 80 miles

Answer 2

Given that Jack biked for
`5 (1)/(3)` hours with an average speed of
`12 (1)/(2)` miles per hour.

The distance travelled by Jack is given by


`d=speed* time \\ \\ =12 (1)/(2)*5 (1)/(3)= (25)/(2) * (16)/(3) \\ \\ = (200)/(3) =66 (2)/(3) \ miles`

Given that Jim travelled exactly
`1 (1)/(5)` as far as Jack did, then the distance Jim travelled is given by


`d=1 (1)/(5) *66 (2)/(3) \\ \\ = (6)/(5) * (200)/(3) =80`

Therefore, the length of Jim's journey is 80 miles.