Usha and Nick started running together along a cross country track. When Nick completed the track in 22 minutes, Usha had run only
35 of the track. Usha’s average speed was 98 m/min slower than Nick’s.
- How long was the cross country track in m?
- Find Usha’s average speed in m/min.
(a)
When Nick completed the track:
Nick's distance = 5 u
Usha's distance = 3 u
Extra distance covered by Nick
= 5 u - 3 u
= 2 u
2 u = 98 x 22
2 u = 2156
1 u = 2156 ÷ 2 = 1078
Distance of the cross country track
= 5 u
= 5 x 1078
= 5390 m
(b)
Nick's speed
= 5390 ÷ 22
= 245 m/min
Usha's speed
= 245 - 98
= 147 m/min
Answer(s): (a) 5390 m; (b) 147 m/min