Linda and Perry started running together along a cross country track. When Perry completed the track in 48 minutes, Linda had run only
47 of the track. Linda’s average speed was 96 m/min slower than Perry’s.
- How long was the cross country track in m?
- Find Linda’s average speed in m/min.
(a)
When Perry completed the track:
Perry's distance = 7 u
Linda's distance = 4 u
Extra distance covered by Perry
= 7 u - 4 u
= 3 u
3 u = 96 x 48
3 u = 4608
1 u = 4608 ÷ 3 = 1536
Distance of the cross country track
= 7 u
= 7 x 1536
= 10752 m
(b)
Perry's speed
= 10752 ÷ 48
= 224 m/min
Linda's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 10752 m; (b) 128 m/min