Rachel and Fabian started running together along a cross country track. When Fabian completed the track in 22 minutes, Rachel had run only
37 of the track. Rachel’s average speed was 112 m/min slower than Fabian’s.
- How long was the cross country track in m?
- Find Rachel’s average speed in m/min.
(a)
When Fabian completed the track:
Fabian's distance = 7 u
Rachel's distance = 3 u
Extra distance covered by Fabian
= 7 u - 3 u
= 4 u
4 u = 112 x 22
4 u = 2464
1 u = 2464 ÷ 4 = 616
Distance of the cross country track
= 7 u
= 7 x 616
= 4312 m
(b)
Fabian's speed
= 4312 ÷ 22
= 196 m/min
Rachel's speed
= 196 - 112
= 84 m/min
Answer(s): (a) 4312 m; (b) 84 m/min