Zara and Gabriel started running together along a cross country track. When Gabriel completed the track in 31 minutes, Zara had run only
49 of the track. Zara’s average speed was 110 m/min slower than Gabriel’s.
- How long was the cross country track in m?
- Find Zara’s average speed in m/min.
(a)
When Gabriel completed the track:
Gabriel's distance = 9 u
Zara's distance = 4 u
Extra distance covered by Gabriel
= 9 u - 4 u
= 5 u
5 u = 110 x 31
5 u = 3410
1 u = 3410 ÷ 5 = 682
Distance of the cross country track
= 9 u
= 9 x 682
= 6138 m
(b)
Gabriel's speed
= 6138 ÷ 31
= 198 m/min
Zara's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 6138 m; (b) 88 m/min