Anna and Will started running together along a cross country track. When Will completed the track in 47 minutes, Anna had run only
37 of the track. Anna’s average speed was 104 m/min slower than Will’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Will completed the track:
Will's distance = 7 u
Anna's distance = 3 u
Extra distance covered by Will
= 7 u - 3 u
= 4 u
4 u = 104 x 47
4 u = 4888
1 u = 4888 ÷ 4 = 1222
Distance of the cross country track
= 7 u
= 7 x 1222
= 8554 m
(b)
Will's speed
= 8554 ÷ 47
= 182 m/min
Anna's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 8554 m; (b) 78 m/min