Joelle and Pierre started running together along a cross country track. When Pierre completed the track in 37 minutes, Joelle had run only
37 of the track. Joelle’s average speed was 104 m/min slower than Pierre’s.
- How long was the cross country track in m?
- Find Joelle’s average speed in m/min.
(a)
When Pierre completed the track:
Pierre's distance = 7 u
Joelle's distance = 3 u
Extra distance covered by Pierre
= 7 u - 3 u
= 4 u
4 u = 104 x 37
4 u = 3848
1 u = 3848 ÷ 4 = 962
Distance of the cross country track
= 7 u
= 7 x 962
= 6734 m
(b)
Pierre's speed
= 6734 ÷ 37
= 182 m/min
Joelle's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 6734 m; (b) 78 m/min