Diana and Dylan started running together along a cross country track. When Dylan completed the track in 49 minutes, Diana had run only
35 of the track. Diana’s average speed was 102 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 = 5 u
Diana's distance = 3 u
Extra distance covered by Dylan
= 5 u - 3 u
= 2 u
2 u = 102 x 49
2 u = 4998
1 u = 4998 ÷ 2 = 2499
Distance of the cross country track
= 5 u
= 5 x 2499
= 12495 m
(b)
Dylan's speed
= 12495 ÷ 49
= 255 m/min
Diana's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 12495 m; (b) 153 m/min