Jean and Simon started running together along a cross country track. When Simon completed the track in 34 minutes, Jean had run only
13 of the track. Jean’s average speed was 108 m/min slower than Simon’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Simon completed the track:
Simon's distance = 3 u
Jean's distance = 1 u
Extra distance covered by Simon
= 3 u - 1 u
= 2 u
2 u = 108 x 34
2 u = 3672
1 u = 3672 ÷ 2 = 1836
Distance of the cross country track
= 3 u
= 3 x 1836
= 5508 m
(b)
Simon's speed
= 5508 ÷ 34
= 162 m/min
Jean's speed
= 162 - 108
= 54 m/min
Answer(s): (a) 5508 m; (b) 54 m/min