Hilda and Ben started running together along a cross country track. When Ben completed the track in 23 minutes, Hilda had run only
38 of the track. Hilda’s average speed was 115 m/min slower than Ben’s.
- How long was the cross country track in m?
- Find Hilda’s average speed in m/min.
(a)
When Ben completed the track:
Ben's distance = 8 u
Hilda's distance = 3 u
Extra distance covered by Ben
= 8 u - 3 u
= 5 u
5 u = 115 x 23
5 u = 2645
1 u = 2645 ÷ 5 = 529
Distance of the cross country track
= 8 u
= 8 x 529
= 4232 m
(b)
Ben's speed
= 4232 ÷ 23
= 184 m/min
Hilda's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 4232 m; (b) 69 m/min