Jean and Jeremy started running together along a cross country track. When Jeremy completed the track in 24 minutes, Jean had run only
35 of the track. Jean’s average speed was 102 m/min slower than Jeremy’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Jeremy completed the track:
Jeremy's distance = 5 u
Jean's distance = 3 u
Extra distance covered by Jeremy
= 5 u - 3 u
= 2 u
2 u = 102 x 24
2 u = 2448
1 u = 2448 ÷ 2 = 1224
Distance of the cross country track
= 5 u
= 5 x 1224
= 6120 m
(b)
Jeremy's speed
= 6120 ÷ 24
= 255 m/min
Jean's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 6120 m; (b) 153 m/min