Diana and Owen started running together along a cross country track. When Owen completed the track in 42 minutes, Diana had run only
35 of the track. Diana’s average speed was 106 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 5 u
Diana's distance = 3 u
Extra distance covered by Owen
= 5 u - 3 u
= 2 u
2 u = 106 x 42
2 u = 4452
1 u = 4452 ÷ 2 = 2226
Distance of the cross country track
= 5 u
= 5 x 2226
= 11130 m
(b)
Owen's speed
= 11130 ÷ 42
= 265 m/min
Diana's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 11130 m; (b) 159 m/min