Anna and Reggie started running together along a cross country track. When Reggie completed the track in 25 minutes, Anna had run only
38 of the track. Anna’s average speed was 105 m/min slower than Reggie’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Reggie completed the track:
Reggie's distance = 8 u
Anna's distance = 3 u
Extra distance covered by Reggie
= 8 u - 3 u
= 5 u
5 u = 105 x 25
5 u = 2625
1 u = 2625 ÷ 5 = 525
Distance of the cross country track
= 8 u
= 8 x 525
= 4200 m
(b)
Reggie's speed
= 4200 ÷ 25
= 168 m/min
Anna's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 4200 m; (b) 63 m/min