Usha and Justin started running together along a cross country track. When Justin completed the track in 23 minutes, Usha had run only
59 of the track. Usha’s average speed was 104 m/min slower than Justin’s.
- How long was the cross country track in m?
- Find Usha’s average speed in m/min.
(a)
When Justin completed the track:
Justin's distance = 9 u
Usha's distance = 5 u
Extra distance covered by Justin
= 9 u - 5 u
= 4 u
4 u = 104 x 23
4 u = 2392
1 u = 2392 ÷ 4 = 598
Distance of the cross country track
= 9 u
= 9 x 598
= 5382 m
(b)
Justin's speed
= 5382 ÷ 23
= 234 m/min
Usha's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 5382 m; (b) 130 m/min