Xylia and Peter started running together along a cross country track. When Peter completed the track in 36 minutes, Xylia had run only
37 of the track. Xylia’s average speed was 112 m/min slower than Peter’s.
- How long was the cross country track in m?
- Find Xylia’s average speed in m/min.
(a)
When Peter completed the track:
Peter's distance = 7 u
Xylia's distance = 3 u
Extra distance covered by Peter
= 7 u - 3 u
= 4 u
4 u = 112 x 36
4 u = 4032
1 u = 4032 ÷ 4 = 1008
Distance of the cross country track
= 7 u
= 7 x 1008
= 7056 m
(b)
Peter's speed
= 7056 ÷ 36
= 196 m/min
Xylia's speed
= 196 - 112
= 84 m/min
Answer(s): (a) 7056 m; (b) 84 m/min