Diana and Ahmad started running together along a cross country track. When Ahmad completed the track in 23 minutes, Diana had run only
38 of the track. Diana’s average speed was 115 m/min slower than Ahmad’s.
- How long was the cross country track in m?
- Find Diana’s average speed in m/min.
(a)
When Ahmad completed the track:
Ahmad's distance = 8 u
Diana's distance = 3 u
Extra distance covered by Ahmad
= 8 u - 3 u
= 5 u
5 u = 115 x 23
5 u = 2645
1 u = 2645 ÷ 5 = 529
Distance of the cross country track
= 8 u
= 8 x 529
= 4232 m
(b)
Ahmad's speed
= 4232 ÷ 23
= 184 m/min
Diana's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 4232 m; (b) 69 m/min