Victoria and Riordan started running together along a cross country track. When Riordan completed the track in 48 minutes, Victoria had run only
59 of the track. Victoria’s average speed was 96 m/min slower than Riordan’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Riordan completed the track:
Riordan's distance = 9 u
Victoria's distance = 5 u
Extra distance covered by Riordan
= 9 u - 5 u
= 4 u
4 u = 96 x 48
4 u = 4608
1 u = 4608 ÷ 4 = 1152
Distance of the cross country track
= 9 u
= 9 x 1152
= 10368 m
(b)
Riordan's speed
= 10368 ÷ 48
= 216 m/min
Victoria's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 10368 m; (b) 120 m/min