Usha and Seth started running together along a cross country track. When Seth completed the track in 32 minutes, Usha had run only
37 of the track. Usha’s average speed was 108 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Usha’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 7 u
Usha's distance = 3 u
Extra distance covered by Seth
= 7 u - 3 u
= 4 u
4 u = 108 x 32
4 u = 3456
1 u = 3456 ÷ 4 = 864
Distance of the cross country track
= 7 u
= 7 x 864
= 6048 m
(b)
Seth's speed
= 6048 ÷ 32
= 189 m/min
Usha's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 6048 m; (b) 81 m/min