Roshel and Bryan started running together along a cross country track. When Bryan completed the track in 42 minutes, Roshel had run only
13 of the track. Roshel’s average speed was 110 m/min slower than Bryan’s.
- How long was the cross country track in m?
- Find Roshel’s average speed in m/min.
(a)
When Bryan completed the track:
Bryan's distance = 3 u
Roshel's distance = 1 u
Extra distance covered by Bryan
= 3 u - 1 u
= 2 u
2 u = 110 x 42
2 u = 4620
1 u = 4620 ÷ 2 = 2310
Distance of the cross country track
= 3 u
= 3 x 2310
= 6930 m
(b)
Bryan's speed
= 6930 ÷ 42
= 165 m/min
Roshel's speed
= 165 - 110
= 55 m/min
Answer(s): (a) 6930 m; (b) 55 m/min