Cathy and Oscar started running together along a cross country track. When Oscar completed the track in 47 minutes, Cathy had run only
59 of the track. Cathy’s average speed was 112 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Cathy’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Cathy's distance = 5 u
Extra distance covered by Oscar
= 9 u - 5 u
= 4 u
4 u = 112 x 47
4 u = 5264
1 u = 5264 ÷ 4 = 1316
Distance of the cross country track
= 9 u
= 9 x 1316
= 11844 m
(b)
Oscar's speed
= 11844 ÷ 47
= 252 m/min
Cathy's speed
= 252 - 112
= 140 m/min
Answer(s): (a) 11844 m; (b) 140 m/min