Sabrina and Glen started running together along a cross country track. When Glen completed the track in 47 minutes, Sabrina had run only
49 of the track. Sabrina’s average speed was 110 m/min slower than Glen’s.
- How long was the cross country track in m?
- Find Sabrina’s average speed in m/min.
(a)
When Glen completed the track:
Glen's distance = 9 u
Sabrina's distance = 4 u
Extra distance covered by Glen
= 9 u - 4 u
= 5 u
5 u = 110 x 47
5 u = 5170
1 u = 5170 ÷ 5 = 1034
Distance of the cross country track
= 9 u
= 9 x 1034
= 9306 m
(b)
Glen's speed
= 9306 ÷ 47
= 198 m/min
Sabrina's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 9306 m; (b) 88 m/min