Esther and Jenson started running together along a cross country track. When Jenson completed the track in 37 minutes, Esther had run only
47 of the track. Esther’s average speed was 99 m/min slower than Jenson’s.
- How long was the cross country track in m?
- Find Esther’s average speed in m/min.
(a)
When Jenson completed the track:
Jenson's distance = 7 u
Esther's distance = 4 u
Extra distance covered by Jenson
= 7 u - 4 u
= 3 u
3 u = 99 x 37
3 u = 3663
1 u = 3663 ÷ 3 = 1221
Distance of the cross country track
= 7 u
= 7 x 1221
= 8547 m
(b)
Jenson's speed
= 8547 ÷ 37
= 231 m/min
Esther's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 8547 m; (b) 132 m/min