Jaslyn and Dylan started running together along a cross country track. When Dylan completed the track in 28 minutes, Jaslyn had run only
13 of the track. Jaslyn’s average speed was 108 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Jaslyn’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 3 u
Jaslyn's distance = 1 u
Extra distance covered by Dylan
= 3 u - 1 u
= 2 u
2 u = 108 x 28
2 u = 3024
1 u = 3024 ÷ 2 = 1512
Distance of the cross country track
= 3 u
= 3 x 1512
= 4536 m
(b)
Dylan's speed
= 4536 ÷ 28
= 162 m/min
Jaslyn's speed
= 162 - 108
= 54 m/min
Answer(s): (a) 4536 m; (b) 54 m/min