Linda and Oliver started running together along a cross country track. When Oliver completed the track in 26 minutes, Linda had run only
13 of the track. Linda’s average speed was 100 m/min slower than Oliver’s.
- How long was the cross country track in m?
- Find Linda’s average speed in m/min.
(a)
When Oliver completed the track:
Oliver's distance = 3 u
Linda's distance = 1 u
Extra distance covered by Oliver
= 3 u - 1 u
= 2 u
2 u = 100 x 26
2 u = 2600
1 u = 2600 ÷ 2 = 1300
Distance of the cross country track
= 3 u
= 3 x 1300
= 3900 m
(b)
Oliver's speed
= 3900 ÷ 26
= 150 m/min
Linda's speed
= 150 - 100
= 50 m/min
Answer(s): (a) 3900 m; (b) 50 m/min