Esther and George started running together along a cross country track. When George completed the track in 33 minutes, Esther had run only
47 of the track. Esther’s average speed was 114 m/min slower than George’s.
- How long was the cross country track in m?
- Find Esther’s average speed in m/min.
(a)
When George completed the track:
George's distance = 7 u
Esther's distance = 4 u
Extra distance covered by George
= 7 u - 4 u
= 3 u
3 u = 114 x 33
3 u = 3762
1 u = 3762 ÷ 3 = 1254
Distance of the cross country track
= 7 u
= 7 x 1254
= 8778 m
(b)
George's speed
= 8778 ÷ 33
= 266 m/min
Esther's speed
= 266 - 114
= 152 m/min
Answer(s): (a) 8778 m; (b) 152 m/min