Usha and Jenson started running together along a cross country track. When Jenson completed the track in 46 minutes, Usha had run only
58 of the track. Usha’s average speed was 96 m/min slower than Jenson’s.
- How long was the cross country track in m?
- Find Usha’s average speed in m/min.
(a)
When Jenson completed the track:
Jenson's distance = 8 u
Usha's distance = 5 u
Extra distance covered by Jenson
= 8 u - 5 u
= 3 u
3 u = 96 x 46
3 u = 4416
1 u = 4416 ÷ 3 = 1472
Distance of the cross country track
= 8 u
= 8 x 1472
= 11776 m
(b)
Jenson's speed
= 11776 ÷ 46
= 256 m/min
Usha's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 11776 m; (b) 160 m/min