Roshel and Luis started running together along a cross country track. When Luis completed the track in 48 minutes, Roshel had run only
35 of the track. Roshel’s average speed was 98 m/min slower than Luis’s.
- How long was the cross country track in m?
- Find Roshel’s average speed in m/min.
(a)
When Luis completed the track:
Luis's distance = 5 u
Roshel's distance = 3 u
Extra distance covered by Luis
= 5 u - 3 u
= 2 u
2 u = 98 x 48
2 u = 4704
1 u = 4704 ÷ 2 = 2352
Distance of the cross country track
= 5 u
= 5 x 2352
= 11760 m
(b)
Luis's speed
= 11760 ÷ 48
= 245 m/min
Roshel's speed
= 245 - 98
= 147 m/min
Answer(s): (a) 11760 m; (b) 147 m/min