Yen and Ahmad started running together along a cross country track. When Ahmad completed the track in 44 minutes, Yen had run only
38 of the track. Yen’s average speed was 110 m/min slower than Ahmad’s.
- How long was the cross country track in m?
- Find Yen’s average speed in m/min.
(a)
When Ahmad completed the track:
Ahmad's distance = 8 u
Yen's distance = 3 u
Extra distance covered by Ahmad
= 8 u - 3 u
= 5 u
5 u = 110 x 44
5 u = 4840
1 u = 4840 ÷ 5 = 968
Distance of the cross country track
= 8 u
= 8 x 968
= 7744 m
(b)
Ahmad's speed
= 7744 ÷ 44
= 176 m/min
Yen's speed
= 176 - 110
= 66 m/min
Answer(s): (a) 7744 m; (b) 66 m/min