Gem and Flynn started running together along a cross country track. When Flynn completed the track in 35 minutes, Gem had run only
38 of the track. Gem’s average speed was 105 m/min slower than Flynn’s.
- How long was the cross country track in m?
- Find Gem’s average speed in m/min.
(a)
When Flynn completed the track:
Flynn's distance = 8 u
Gem's distance = 3 u
Extra distance covered by Flynn
= 8 u - 3 u
= 5 u
5 u = 105 x 35
5 u = 3675
1 u = 3675 ÷ 5 = 735
Distance of the cross country track
= 8 u
= 8 x 735
= 5880 m
(b)
Flynn's speed
= 5880 ÷ 35
= 168 m/min
Gem's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 5880 m; (b) 63 m/min