Yen and Xavier started running together along a cross country track. When Xavier completed the track in 28 minutes, Yen had run only
37 of the track. Yen’s average speed was 112 m/min slower than Xavier’s.
- How long was the cross country track in m?
- Find Yen’s average speed in m/min.
(a)
When Xavier completed the track:
Xavier's distance = 7 u
Yen's distance = 3 u
Extra distance covered by Xavier
= 7 u - 3 u
= 4 u
4 u = 112 x 28
4 u = 3136
1 u = 3136 ÷ 4 = 784
Distance of the cross country track
= 7 u
= 7 x 784
= 5488 m
(b)
Xavier's speed
= 5488 ÷ 28
= 196 m/min
Yen's speed
= 196 - 112
= 84 m/min
Answer(s): (a) 5488 m; (b) 84 m/min