Sabrina and Michael started running together along a cross country track. When Michael completed the track in 41 minutes, Sabrina had run only
13 of the track. Sabrina’s average speed was 98 m/min slower than Michael’s.
- How long was the cross country track in m?
- Find Sabrina’s average speed in m/min.
(a)
When Michael completed the track:
Michael's distance = 3 u
Sabrina's distance = 1 u
Extra distance covered by Michael
= 3 u - 1 u
= 2 u
2 u = 98 x 41
2 u = 4018
1 u = 4018 ÷ 2 = 2009
Distance of the cross country track
= 3 u
= 3 x 2009
= 6027 m
(b)
Michael's speed
= 6027 ÷ 41
= 147 m/min
Sabrina's speed
= 147 - 98
= 49 m/min
Answer(s): (a) 6027 m; (b) 49 m/min