Jane and Sean started running together along a cross country track. When Sean completed the track in 44 minutes, Jane had run only
49 of the track. Jane’s average speed was 95 m/min slower than Sean’s.
- How long was the cross country track in m?
- Find Jane’s average speed in m/min.
(a)
When Sean completed the track:
Sean's distance = 9 u
Jane's distance = 4 u
Extra distance covered by Sean
= 9 u - 4 u
= 5 u
5 u = 95 x 44
5 u = 4180
1 u = 4180 ÷ 5 = 836
Distance of the cross country track
= 9 u
= 9 x 836
= 7524 m
(b)
Sean's speed
= 7524 ÷ 44
= 171 m/min
Jane's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 7524 m; (b) 76 m/min