Xylia and Fred started running together along a cross country track. When Fred completed the track in 40 minutes, Xylia had run only
13 of the track. Xylia’s average speed was 112 m/min slower than Fred’s.
- How long was the cross country track in m?
- Find Xylia’s average speed in m/min.
(a)
When Fred completed the track:
Fred's distance = 3 u
Xylia's distance = 1 u
Extra distance covered by Fred
= 3 u - 1 u
= 2 u
2 u = 112 x 40
2 u = 4480
1 u = 4480 ÷ 2 = 2240
Distance of the cross country track
= 3 u
= 3 x 2240
= 6720 m
(b)
Fred's speed
= 6720 ÷ 40
= 168 m/min
Xylia's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 6720 m; (b) 56 m/min