Dana and Seth started running together along a cross country track. When Seth completed the track in 34 minutes, Dana had run only
35 of the track. Dana’s average speed was 96 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Dana’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 5 u
Dana's distance = 3 u
Extra distance covered by Seth
= 5 u - 3 u
= 2 u
2 u = 96 x 34
2 u = 3264
1 u = 3264 ÷ 2 = 1632
Distance of the cross country track
= 5 u
= 5 x 1632
= 8160 m
(b)
Seth's speed
= 8160 ÷ 34
= 240 m/min
Dana's speed
= 240 - 96
= 144 m/min
Answer(s): (a) 8160 m; (b) 144 m/min