Eva and Asher started running together along a cross country track. When Asher completed the track in 33 minutes, Eva had run only
59 of the track. Eva’s average speed was 100 m/min slower than Asher’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Asher completed the track:
Asher's distance = 9 u
Eva's distance = 5 u
Extra distance covered by Asher
= 9 u - 5 u
= 4 u
4 u = 100 x 33
4 u = 3300
1 u = 3300 ÷ 4 = 825
Distance of the cross country track
= 9 u
= 9 x 825
= 7425 m
(b)
Asher's speed
= 7425 ÷ 33
= 225 m/min
Eva's speed
= 225 - 100
= 125 m/min
Answer(s): (a) 7425 m; (b) 125 m/min