Tina and Ahmad started running together along a cross country track. When Ahmad completed the track in 32 minutes, Tina had run only
59 of the track. Tina’s average speed was 100 m/min slower than Ahmad’s.
- How long was the cross country track in m?
- Find Tina’s average speed in m/min.
(a)
When Ahmad completed the track:
Ahmad's distance = 9 u
Tina's distance = 5 u
Extra distance covered by Ahmad
= 9 u - 5 u
= 4 u
4 u = 100 x 32
4 u = 3200
1 u = 3200 ÷ 4 = 800
Distance of the cross country track
= 9 u
= 9 x 800
= 7200 m
(b)
Ahmad's speed
= 7200 ÷ 32
= 225 m/min
Tina's speed
= 225 - 100
= 125 m/min
Answer(s): (a) 7200 m; (b) 125 m/min