Yen and Seth started running together along a cross country track. When Seth completed the track in 42 minutes, Yen had run only
13 of the track. Yen’s average speed was 106 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Yen’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 3 u
Yen's distance = 1 u
Extra distance covered by Seth
= 3 u - 1 u
= 2 u
2 u = 106 x 42
2 u = 4452
1 u = 4452 ÷ 2 = 2226
Distance of the cross country track
= 3 u
= 3 x 2226
= 6678 m
(b)
Seth's speed
= 6678 ÷ 42
= 159 m/min
Yen's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 6678 m; (b) 53 m/min