Erika and Owen started running together along a cross country track. When Owen completed the track in 26 minutes, Erika had run only
49 of the track. Erika’s average speed was 100 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Erika’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 9 u
Erika's distance = 4 u
Extra distance covered by Owen
= 9 u - 4 u
= 5 u
5 u = 100 x 26
5 u = 2600
1 u = 2600 ÷ 5 = 520
Distance of the cross country track
= 9 u
= 9 x 520
= 4680 m
(b)
Owen's speed
= 4680 ÷ 26
= 180 m/min
Erika's speed
= 180 - 100
= 80 m/min
Answer(s): (a) 4680 m; (b) 80 m/min