Erika and Owen started running together along a cross country track. When Owen completed the track in 46 minutes, Erika had run only
13 of the track. Erika’s average speed was 96 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 = 3 u
Erika's distance = 1 u
Extra distance covered by Owen
= 3 u - 1 u
= 2 u
2 u = 96 x 46
2 u = 4416
1 u = 4416 ÷ 2 = 2208
Distance of the cross country track
= 3 u
= 3 x 2208
= 6624 m
(b)
Owen's speed
= 6624 ÷ 46
= 144 m/min
Erika's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 6624 m; (b) 48 m/min