Hilda and Ivan started running together along a cross country track. When Ivan completed the track in 37 minutes, Hilda had run only
59 of the track. Hilda’s average speed was 104 m/min slower than Ivan’s.
- How long was the cross country track in m?
- Find Hilda’s average speed in m/min.
(a)
When Ivan completed the track:
Ivan's distance = 9 u
Hilda's distance = 5 u
Extra distance covered by Ivan
= 9 u - 5 u
= 4 u
4 u = 104 x 37
4 u = 3848
1 u = 3848 ÷ 4 = 962
Distance of the cross country track
= 9 u
= 9 x 962
= 8658 m
(b)
Ivan's speed
= 8658 ÷ 37
= 234 m/min
Hilda's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 8658 m; (b) 130 m/min