Diana and Dylan started running together along a cross country track. When Dylan completed the track in 26 minutes, Diana had run only
59 of the track. Diana’s average speed was 108 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 9 u
Diana's distance = 5 u
Extra distance covered by Dylan
= 9 u - 5 u
= 4 u
4 u = 108 x 26
4 u = 2808
1 u = 2808 ÷ 4 = 702
Distance of the cross country track
= 9 u
= 9 x 702
= 6318 m
(b)
Dylan's speed
= 6318 ÷ 26
= 243 m/min
Diana's speed
= 243 - 108
= 135 m/min
Answer(s): (a) 6318 m; (b) 135 m/min