Eva and Sean started running together along a cross country track. When Sean completed the track in 29 minutes, Eva had run only
49 of the track. Eva’s average speed was 110 m/min slower than Sean’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Sean completed the track:
Sean's distance = 9 u
Eva's distance = 4 u
Extra distance covered by Sean
= 9 u - 4 u
= 5 u
5 u = 110 x 29
5 u = 3190
1 u = 3190 ÷ 5 = 638
Distance of the cross country track
= 9 u
= 9 x 638
= 5742 m
(b)
Sean's speed
= 5742 ÷ 29
= 198 m/min
Eva's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 5742 m; (b) 88 m/min