Eva and Ryan started running together along a cross country track. When Ryan completed the track in 21 minutes, Eva had run only
37 of the track. Eva’s average speed was 108 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 7 u
Eva's distance = 3 u
Extra distance covered by Ryan
= 7 u - 3 u
= 4 u
4 u = 108 x 21
4 u = 2268
1 u = 2268 ÷ 4 = 567
Distance of the cross country track
= 7 u
= 7 x 567
= 3969 m
(b)
Ryan's speed
= 3969 ÷ 21
= 189 m/min
Eva's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 3969 m; (b) 81 m/min