Gem and Andy started running together along a cross country track. When Andy completed the track in 35 minutes, Gem had run only
37 of the track. Gem’s average speed was 96 m/min slower than Andy’s.
- How long was the cross country track in m?
- Find Gem’s average speed in m/min.
(a)
When Andy completed the track:
Andy's distance = 7 u
Gem's distance = 3 u
Extra distance covered by Andy
= 7 u - 3 u
= 4 u
4 u = 96 x 35
4 u = 3360
1 u = 3360 ÷ 4 = 840
Distance of the cross country track
= 7 u
= 7 x 840
= 5880 m
(b)
Andy's speed
= 5880 ÷ 35
= 168 m/min
Gem's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 5880 m; (b) 72 m/min