Fiona and Zeph started running together along a cross country track. When Zeph completed the track in 50 minutes, Fiona had run only
35 of the track. Fiona’s average speed was 106 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Fiona’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 5 u
Fiona's distance = 3 u
Extra distance covered by Zeph
= 5 u - 3 u
= 2 u
2 u = 106 x 50
2 u = 5300
1 u = 5300 ÷ 2 = 2650
Distance of the cross country track
= 5 u
= 5 x 2650
= 13250 m
(b)
Zeph's speed
= 13250 ÷ 50
= 265 m/min
Fiona's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 13250 m; (b) 159 m/min