Olivia and Michael started running together along a cross country track. When Michael completed the track in 38 minutes, Olivia had run only
49 of the track. Olivia’s average speed was 95 m/min slower than Michael’s.
- How long was the cross country track in m?
- Find Olivia’s average speed in m/min.
(a)
When Michael completed the track:
Michael's distance = 9 u
Olivia's distance = 4 u
Extra distance covered by Michael
= 9 u - 4 u
= 5 u
5 u = 95 x 38
5 u = 3610
1 u = 3610 ÷ 5 = 722
Distance of the cross country track
= 9 u
= 9 x 722
= 6498 m
(b)
Michael's speed
= 6498 ÷ 38
= 171 m/min
Olivia's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 6498 m; (b) 76 m/min