Eva and Reggie started running together along a cross country track. When Reggie completed the track in 41 minutes, Eva had run only
13 of the track. Eva’s average speed was 104 m/min slower than Reggie’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Reggie completed the track:
Reggie's distance = 3 u
Eva's distance = 1 u
Extra distance covered by Reggie
= 3 u - 1 u
= 2 u
2 u = 104 x 41
2 u = 4264
1 u = 4264 ÷ 2 = 2132
Distance of the cross country track
= 3 u
= 3 x 2132
= 6396 m
(b)
Reggie's speed
= 6396 ÷ 41
= 156 m/min
Eva's speed
= 156 - 104
= 52 m/min
Answer(s): (a) 6396 m; (b) 52 m/min