Olivia and George started running together along a cross country track. When George completed the track in 28 minutes, Olivia had run only
35 of the track. Olivia’s average speed was 98 m/min slower than George’s.
- How long was the cross country track in m?
- Find Olivia’s average speed in m/min.
(a)
When George completed the track:
George's distance = 5 u
Olivia's distance = 3 u
Extra distance covered by George
= 5 u - 3 u
= 2 u
2 u = 98 x 28
2 u = 2744
1 u = 2744 ÷ 2 = 1372
Distance of the cross country track
= 5 u
= 5 x 1372
= 6860 m
(b)
George's speed
= 6860 ÷ 28
= 245 m/min
Olivia's speed
= 245 - 98
= 147 m/min
Answer(s): (a) 6860 m; (b) 147 m/min