Irene and Cole started running together along a cross country track. When Cole completed the track in 28 minutes, Irene had run only
47 of the track. Irene’s average speed was 96 m/min slower than Cole’s.
- How long was the cross country track in m?
- Find Irene’s average speed in m/min.
(a)
When Cole completed the track:
Cole's distance = 7 u
Irene's distance = 4 u
Extra distance covered by Cole
= 7 u - 4 u
= 3 u
3 u = 96 x 28
3 u = 2688
1 u = 2688 ÷ 3 = 896
Distance of the cross country track
= 7 u
= 7 x 896
= 6272 m
(b)
Cole's speed
= 6272 ÷ 28
= 224 m/min
Irene's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 6272 m; (b) 128 m/min