Gem and Howard started running together along a cross country track. When Howard completed the track in 45 minutes, Gem had run only
47 of the track. Gem’s average speed was 108 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Gem’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 7 u
Gem's distance = 4 u
Extra distance covered by Howard
= 7 u - 4 u
= 3 u
3 u = 108 x 45
3 u = 4860
1 u = 4860 ÷ 3 = 1620
Distance of the cross country track
= 7 u
= 7 x 1620
= 11340 m
(b)
Howard's speed
= 11340 ÷ 45
= 252 m/min
Gem's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 11340 m; (b) 144 m/min