Diana and Cole started running together along a cross country track. When Cole completed the track in 50 minutes, Diana had run only
49 of the track. Diana’s average speed was 110 m/min slower than Cole’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Cole completed the track:
Cole's distance = 9 u
Diana's distance = 4 u
Extra distance covered by Cole
= 9 u - 4 u
= 5 u
5 u = 110 x 50
5 u = 5500
1 u = 5500 ÷ 5 = 1100
Distance of the cross country track
= 9 u
= 9 x 1100
= 9900 m
(b)
Cole's speed
= 9900 ÷ 50
= 198 m/min
Diana's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 9900 m; (b) 88 m/min