Cathy and Riordan started running together along a cross country track. When Riordan completed the track in 24 minutes, Cathy had run only
38 of the track. Cathy’s average speed was 95 m/min slower than Riordan’s.
- How long was the cross country track in m?
- Find Cathy’s average speed in m/min.
(a)
When Riordan completed the track:
Riordan's distance = 8 u
Cathy's distance = 3 u
Extra distance covered by Riordan
= 8 u - 3 u
= 5 u
5 u = 95 x 24
5 u = 2280
1 u = 2280 ÷ 5 = 456
Distance of the cross country track
= 8 u
= 8 x 456
= 3648 m
(b)
Riordan's speed
= 3648 ÷ 24
= 152 m/min
Cathy's speed
= 152 - 95
= 57 m/min
Answer(s): (a) 3648 m; (b) 57 m/min