Nora and John started running together along a cross country track. When John completed the track in 37 minutes, Nora had run only
35 of the track. Nora’s average speed was 106 m/min slower than John’s.
- How long was the cross country track in m?
- Find Nora’s average speed in m/min.
(a)
When John completed the track:
John's distance = 5 u
Nora's distance = 3 u
Extra distance covered by John
= 5 u - 3 u
= 2 u
2 u = 106 x 37
2 u = 3922
1 u = 3922 ÷ 2 = 1961
Distance of the cross country track
= 5 u
= 5 x 1961
= 9805 m
(b)
John's speed
= 9805 ÷ 37
= 265 m/min
Nora's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 9805 m; (b) 159 m/min