Diana and Paul started running together along a cross country track. When Paul completed the track in 27 minutes, Diana had run only
47 of the track. Diana’s average speed was 96 m/min slower than Paul’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Paul completed the track:
Paul's distance = 7 u
Diana's distance = 4 u
Extra distance covered by Paul
= 7 u - 4 u
= 3 u
3 u = 96 x 27
3 u = 2592
1 u = 2592 ÷ 3 = 864
Distance of the cross country track
= 7 u
= 7 x 864
= 6048 m
(b)
Paul's speed
= 6048 ÷ 27
= 224 m/min
Diana's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 6048 m; (b) 128 m/min