Yen and Henry started running together along a cross country track. When Henry completed the track in 44 minutes, Yen had run only
47 of the track. Yen’s average speed was 108 m/min slower than Henry’s.
- How long was the cross country track in m?
- Find Yen’s average speed in m/min.
(a)
When Henry completed the track:
Henry's distance = 7 u
Yen's distance = 4 u
Extra distance covered by Henry
= 7 u - 4 u
= 3 u
3 u = 108 x 44
3 u = 4752
1 u = 4752 ÷ 3 = 1584
Distance of the cross country track
= 7 u
= 7 x 1584
= 11088 m
(b)
Henry's speed
= 11088 ÷ 44
= 252 m/min
Yen's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 11088 m; (b) 144 m/min