Jean and Carl started running together along a cross country track. When Carl completed the track in 44 minutes, Jean had run only
49 of the track. Jean’s average speed was 105 m/min slower than Carl’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Carl completed the track:
Carl's distance = 9 u
Jean's distance = 4 u
Extra distance covered by Carl
= 9 u - 4 u
= 5 u
5 u = 105 x 44
5 u = 4620
1 u = 4620 ÷ 5 = 924
Distance of the cross country track
= 9 u
= 9 x 924
= 8316 m
(b)
Carl's speed
= 8316 ÷ 44
= 189 m/min
Jean's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 8316 m; (b) 84 m/min