Sabrina and Mark started running together along a cross country track. When Mark completed the track in 35 minutes, Sabrina had run only
13 of the track. Sabrina’s average speed was 96 m/min slower than Mark’s.
- How long was the cross country track in m?
- Find Sabrina’s average speed in m/min.
(a)
When Mark completed the track:
Mark's distance = 3 u
Sabrina's distance = 1 u
Extra distance covered by Mark
= 3 u - 1 u
= 2 u
2 u = 96 x 35
2 u = 3360
1 u = 3360 ÷ 2 = 1680
Distance of the cross country track
= 3 u
= 3 x 1680
= 5040 m
(b)
Mark's speed
= 5040 ÷ 35
= 144 m/min
Sabrina's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 5040 m; (b) 48 m/min