Eva and Dylan started running together along a cross country track. When Dylan completed the track in 23 minutes, Eva had run only
13 of the track. Eva’s average speed was 100 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 3 u
Eva's distance = 1 u
Extra distance covered by Dylan
= 3 u - 1 u
= 2 u
2 u = 100 x 23
2 u = 2300
1 u = 2300 ÷ 2 = 1150
Distance of the cross country track
= 3 u
= 3 x 1150
= 3450 m
(b)
Dylan's speed
= 3450 ÷ 23
= 150 m/min
Eva's speed
= 150 - 100
= 50 m/min
Answer(s): (a) 3450 m; (b) 50 m/min