Sabrina and Dylan started running together along a cross country track. When Dylan completed the track in 31 minutes, Sabrina had run only
49 of the track. Sabrina’s average speed was 105 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Sabrina’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 9 u
Sabrina's distance = 4 u
Extra distance covered by Dylan
= 9 u - 4 u
= 5 u
5 u = 105 x 31
5 u = 3255
1 u = 3255 ÷ 5 = 651
Distance of the cross country track
= 9 u
= 9 x 651
= 5859 m
(b)
Dylan's speed
= 5859 ÷ 31
= 189 m/min
Sabrina's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 5859 m; (b) 84 m/min