Risa and Bryan started running together along a cross country track. When Bryan completed the track in 49 minutes, Risa had run only
47 of the track. Risa’s average speed was 105 m/min slower than Bryan’s.
- How long was the cross country track in m?
- Find Risa’s average speed in m/min.
(a)
When Bryan completed the track:
Bryan's distance = 7 u
Risa's distance = 4 u
Extra distance covered by Bryan
= 7 u - 4 u
= 3 u
3 u = 105 x 49
3 u = 5145
1 u = 5145 ÷ 3 = 1715
Distance of the cross country track
= 7 u
= 7 x 1715
= 12005 m
(b)
Bryan's speed
= 12005 ÷ 49
= 245 m/min
Risa's speed
= 245 - 105
= 140 m/min
Answer(s): (a) 12005 m; (b) 140 m/min