Jen and Owen started running together along a cross country track. When Owen completed the track in 42 minutes, Jen had run only
47 of the track. Jen’s average speed was 102 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Jen’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 7 u
Jen's distance = 4 u
Extra distance covered by Owen
= 7 u - 4 u
= 3 u
3 u = 102 x 42
3 u = 4284
1 u = 4284 ÷ 3 = 1428
Distance of the cross country track
= 7 u
= 7 x 1428
= 9996 m
(b)
Owen's speed
= 9996 ÷ 42
= 238 m/min
Jen's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 9996 m; (b) 136 m/min