Anna and Vaidev started running together along a cross country track. When Vaidev completed the track in 36 minutes, Anna had run only
13 of the track. Anna’s average speed was 114 m/min slower than Vaidev’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Vaidev completed the track:
Vaidev's distance = 3 u
Anna's distance = 1 u
Extra distance covered by Vaidev
= 3 u - 1 u
= 2 u
2 u = 114 x 36
2 u = 4104
1 u = 4104 ÷ 2 = 2052
Distance of the cross country track
= 3 u
= 3 x 2052
= 6156 m
(b)
Vaidev's speed
= 6156 ÷ 36
= 171 m/min
Anna's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 6156 m; (b) 57 m/min