Yoko and Bobby started running together along a cross country track. When Bobby completed the track in 31 minutes, Yoko had run only
37 of the track. Yoko’s average speed was 96 m/min slower than Bobby’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Bobby completed the track:
Bobby's distance = 7 u
Yoko's distance = 3 u
Extra distance covered by Bobby
= 7 u - 3 u
= 4 u
4 u = 96 x 31
4 u = 2976
1 u = 2976 ÷ 4 = 744
Distance of the cross country track
= 7 u
= 7 x 744
= 5208 m
(b)
Bobby's speed
= 5208 ÷ 31
= 168 m/min
Yoko's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 5208 m; (b) 72 m/min