Anna and Howard started running together along a cross country track. When Howard completed the track in 24 minutes, Anna had run only
49 of the track. Anna’s average speed was 95 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 9 u
Anna's distance = 4 u
Extra distance covered by Howard
= 9 u - 4 u
= 5 u
5 u = 95 x 24
5 u = 2280
1 u = 2280 ÷ 5 = 456
Distance of the cross country track
= 9 u
= 9 x 456
= 4104 m
(b)
Howard's speed
= 4104 ÷ 24
= 171 m/min
Anna's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 4104 m; (b) 76 m/min