Sabrina and Reggie started running together along a cross country track. When Reggie completed the track in 23 minutes, Sabrina had run only
59 of the track. Sabrina’s average speed was 112 m/min slower than Reggie’s.
- How long was the cross country track in m?
- Find Sabrina’s average speed in m/min.
(a)
When Reggie completed the track:
Reggie's distance = 9 u
Sabrina's distance = 5 u
Extra distance covered by Reggie
= 9 u - 5 u
= 4 u
4 u = 112 x 23
4 u = 2576
1 u = 2576 ÷ 4 = 644
Distance of the cross country track
= 9 u
= 9 x 644
= 5796 m
(b)
Reggie's speed
= 5796 ÷ 23
= 252 m/min
Sabrina's speed
= 252 - 112
= 140 m/min
Answer(s): (a) 5796 m; (b) 140 m/min