Yoko and Sean started running together along a cross country track. When Sean completed the track in 42 minutes, Yoko had run only
47 of the track. Yoko’s average speed was 108 m/min slower than Sean’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Sean completed the track:
Sean's distance = 7 u
Yoko's distance = 4 u
Extra distance covered by Sean
= 7 u - 4 u
= 3 u
3 u = 108 x 42
3 u = 4536
1 u = 4536 ÷ 3 = 1512
Distance of the cross country track
= 7 u
= 7 x 1512
= 10584 m
(b)
Sean's speed
= 10584 ÷ 42
= 252 m/min
Yoko's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 10584 m; (b) 144 m/min