Yen and Carl started running together along a cross country track. When Carl completed the track in 34 minutes, Yen had run only
49 of the track. Yen’s average speed was 95 m/min slower than Carl’s.
- How long was the cross country track in m?
- Find Yen’s average speed in m/min.
(a)
When Carl completed the track:
Carl's distance = 9 u
Yen's distance = 4 u
Extra distance covered by Carl
= 9 u - 4 u
= 5 u
5 u = 95 x 34
5 u = 3230
1 u = 3230 ÷ 5 = 646
Distance of the cross country track
= 9 u
= 9 x 646
= 5814 m
(b)
Carl's speed
= 5814 ÷ 34
= 171 m/min
Yen's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 5814 m; (b) 76 m/min