Dana and Warren started running together along a cross country track. When Warren completed the track in 39 minutes, Dana had run only
59 of the track. Dana’s average speed was 108 m/min slower than Warren’s.
- How long was the cross country track in m?
- Find Dana’s average speed in m/min.
(a)
When Warren completed the track:
Warren's distance = 9 u
Dana's distance = 5 u
Extra distance covered by Warren
= 9 u - 5 u
= 4 u
4 u = 108 x 39
4 u = 4212
1 u = 4212 ÷ 4 = 1053
Distance of the cross country track
= 9 u
= 9 x 1053
= 9477 m
(b)
Warren's speed
= 9477 ÷ 39
= 243 m/min
Dana's speed
= 243 - 108
= 135 m/min
Answer(s): (a) 9477 m; (b) 135 m/min