Yoko and Ian started running together along a cross country track. When Ian completed the track in 33 minutes, Yoko had run only
37 of the track. Yoko’s average speed was 96 m/min slower than Ian’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Ian completed the track:
Ian's distance = 7 u
Yoko's distance = 3 u
Extra distance covered by Ian
= 7 u - 3 u
= 4 u
4 u = 96 x 33
4 u = 3168
1 u = 3168 ÷ 4 = 792
Distance of the cross country track
= 7 u
= 7 x 792
= 5544 m
(b)
Ian's speed
= 5544 ÷ 33
= 168 m/min
Yoko's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 5544 m; (b) 72 m/min