Joelle and Albert started running together along a cross country track. When Albert completed the track in 30 minutes, Joelle had run only
38 of the track. Joelle’s average speed was 105 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Joelle’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 8 u
Joelle's distance = 3 u
Extra distance covered by Albert
= 8 u - 3 u
= 5 u
5 u = 105 x 30
5 u = 3150
1 u = 3150 ÷ 5 = 630
Distance of the cross country track
= 8 u
= 8 x 630
= 5040 m
(b)
Albert's speed
= 5040 ÷ 30
= 168 m/min
Joelle's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 5040 m; (b) 63 m/min