Lynn and Oscar started running together along a cross country track. When Oscar completed the track in 29 minutes, Lynn had run only
49 of the track. Lynn’s average speed was 115 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Lynn’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Lynn's distance = 4 u
Extra distance covered by Oscar
= 9 u - 4 u
= 5 u
5 u = 115 x 29
5 u = 3335
1 u = 3335 ÷ 5 = 667
Distance of the cross country track
= 9 u
= 9 x 667
= 6003 m
(b)
Oscar's speed
= 6003 ÷ 29
= 207 m/min
Lynn's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 6003 m; (b) 92 m/min