Tina and Peter started running together along a cross country track. When Peter completed the track in 34 minutes, Tina had run only
13 of the track. Tina’s average speed was 112 m/min slower than Peter’s.
- How long was the cross country track in m?
- Find Tina’s average speed in m/min.
(a)
When Peter completed the track:
Peter's distance = 3 u
Tina's distance = 1 u
Extra distance covered by Peter
= 3 u - 1 u
= 2 u
2 u = 112 x 34
2 u = 3808
1 u = 3808 ÷ 2 = 1904
Distance of the cross country track
= 3 u
= 3 x 1904
= 5712 m
(b)
Peter's speed
= 5712 ÷ 34
= 168 m/min
Tina's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 5712 m; (b) 56 m/min