Diana and Flynn started running together along a cross country track. When Flynn completed the track in 43 minutes, Diana had run only
59 of the track. Diana’s average speed was 96 m/min slower than Flynn’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Flynn completed the track:
Flynn's distance = 9 u
Diana's distance = 5 u
Extra distance covered by Flynn
= 9 u - 5 u
= 4 u
4 u = 96 x 43
4 u = 4128
1 u = 4128 ÷ 4 = 1032
Distance of the cross country track
= 9 u
= 9 x 1032
= 9288 m
(b)
Flynn's speed
= 9288 ÷ 43
= 216 m/min
Diana's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 9288 m; (b) 120 m/min