Opal and Asher started running together along a cross country track. When Asher completed the track in 37 minutes, Opal had run only
47 of the track. Opal’s average speed was 108 m/min slower than Asher’s.
- How long was the cross country track in m?
- Find Opal’s average speed in m/min.
(a)
When Asher completed the track:
Asher's distance = 7 u
Opal's distance = 4 u
Extra distance covered by Asher
= 7 u - 4 u
= 3 u
3 u = 108 x 37
3 u = 3996
1 u = 3996 ÷ 3 = 1332
Distance of the cross country track
= 7 u
= 7 x 1332
= 9324 m
(b)
Asher's speed
= 9324 ÷ 37
= 252 m/min
Opal's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 9324 m; (b) 144 m/min