Olivia and Mark started running together along a cross country track. When Mark completed the track in 33 minutes, Olivia had run only
49 of the track. Olivia’s average speed was 105 m/min slower than Mark’s.
- How long was the cross country track in m?
- Find Olivia’s average speed in m/min.
(a)
When Mark completed the track:
Mark's distance = 9 u
Olivia's distance = 4 u
Extra distance covered by Mark
= 9 u - 4 u
= 5 u
5 u = 105 x 33
5 u = 3465
1 u = 3465 ÷ 5 = 693
Distance of the cross country track
= 9 u
= 9 x 693
= 6237 m
(b)
Mark's speed
= 6237 ÷ 33
= 189 m/min
Olivia's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 6237 m; (b) 84 m/min