Gillian and Ahmad started running together along a cross country track. When Ahmad completed the track in 21 minutes, Gillian had run only
37 of the track. Gillian’s average speed was 104 m/min slower than Ahmad’s.
- How long was the cross country track in m?
- Find Gillian’s average speed in m/min.
(a)
When Ahmad completed the track:
Ahmad's distance = 7 u
Gillian's distance = 3 u
Extra distance covered by Ahmad
= 7 u - 3 u
= 4 u
4 u = 104 x 21
4 u = 2184
1 u = 2184 ÷ 4 = 546
Distance of the cross country track
= 7 u
= 7 x 546
= 3822 m
(b)
Ahmad's speed
= 3822 ÷ 21
= 182 m/min
Gillian's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 3822 m; (b) 78 m/min