Esther and Zeph started running together along a cross country track. When Zeph completed the track in 48 minutes, Esther had run only
49 of the track. Esther’s average speed was 110 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Esther’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 9 u
Esther's distance = 4 u
Extra distance covered by Zeph
= 9 u - 4 u
= 5 u
5 u = 110 x 48
5 u = 5280
1 u = 5280 ÷ 5 = 1056
Distance of the cross country track
= 9 u
= 9 x 1056
= 9504 m
(b)
Zeph's speed
= 9504 ÷ 48
= 198 m/min
Esther's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 9504 m; (b) 88 m/min