Opal and Paul started running together along a cross country track. When Paul completed the track in 23 minutes, Opal had run only
13 of the track. Opal’s average speed was 106 m/min slower than Paul’s.
- How long was the cross country track in m?
- Find Opal’s average speed in m/min.
(a)
When Paul completed the track:
Paul's distance = 3 u
Opal's distance = 1 u
Extra distance covered by Paul
= 3 u - 1 u
= 2 u
2 u = 106 x 23
2 u = 2438
1 u = 2438 ÷ 2 = 1219
Distance of the cross country track
= 3 u
= 3 x 1219
= 3657 m
(b)
Paul's speed
= 3657 ÷ 23
= 159 m/min
Opal's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 3657 m; (b) 53 m/min