Fiona and Dylan started running together along a cross country track. When Dylan completed the track in 48 minutes, Fiona had run only
13 of the track. Fiona’s average speed was 102 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Fiona’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 3 u
Fiona's distance = 1 u
Extra distance covered by Dylan
= 3 u - 1 u
= 2 u
2 u = 102 x 48
2 u = 4896
1 u = 4896 ÷ 2 = 2448
Distance of the cross country track
= 3 u
= 3 x 2448
= 7344 m
(b)
Dylan's speed
= 7344 ÷ 48
= 153 m/min
Fiona's speed
= 153 - 102
= 51 m/min
Answer(s): (a) 7344 m; (b) 51 m/min