Victoria and Ethan started running together along a cross country track. When Ethan completed the track in 30 minutes, Victoria had run only
13 of the track. Victoria’s average speed was 108 m/min slower than Ethan’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Ethan completed the track:
Ethan's distance = 3 u
Victoria's distance = 1 u
Extra distance covered by Ethan
= 3 u - 1 u
= 2 u
2 u = 108 x 30
2 u = 3240
1 u = 3240 ÷ 2 = 1620
Distance of the cross country track
= 3 u
= 3 x 1620
= 4860 m
(b)
Ethan's speed
= 4860 ÷ 30
= 162 m/min
Victoria's speed
= 162 - 108
= 54 m/min
Answer(s): (a) 4860 m; (b) 54 m/min