Linda and Daniel started running together along a cross country track. When Daniel completed the track in 36 minutes, Linda had run only
47 of the track. Linda’s average speed was 111 m/min slower than Daniel’s.
- How long was the cross country track in m?
- Find Linda’s average speed in m/min.
(a)
When Daniel completed the track:
Daniel's distance = 7 u
Linda's distance = 4 u
Extra distance covered by Daniel
= 7 u - 4 u
= 3 u
3 u = 111 x 36
3 u = 3996
1 u = 3996 ÷ 3 = 1332
Distance of the cross country track
= 7 u
= 7 x 1332
= 9324 m
(b)
Daniel's speed
= 9324 ÷ 36
= 259 m/min
Linda's speed
= 259 - 111
= 148 m/min
Answer(s): (a) 9324 m; (b) 148 m/min