Yoko and Tim started running together along a cross country track. When Tim completed the track in 24 minutes, Yoko had run only
13 of the track. Yoko’s average speed was 96 m/min slower than Tim’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Tim completed the track:
Tim's distance = 3 u
Yoko's distance = 1 u
Extra distance covered by Tim
= 3 u - 1 u
= 2 u
2 u = 96 x 24
2 u = 2304
1 u = 2304 ÷ 2 = 1152
Distance of the cross country track
= 3 u
= 3 x 1152
= 3456 m
(b)
Tim's speed
= 3456 ÷ 24
= 144 m/min
Yoko's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 3456 m; (b) 48 m/min