Usha and Andy started running together along a cross country track. When Andy completed the track in 37 minutes, Usha had run only
59 of the track. Usha’s average speed was 96 m/min slower than Andy’s.
- How long was the cross country track in m?
- Find Usha’s average speed in m/min.
(a)
When Andy completed the track:
Andy's distance = 9 u
Usha's distance = 5 u
Extra distance covered by Andy
= 9 u - 5 u
= 4 u
4 u = 96 x 37
4 u = 3552
1 u = 3552 ÷ 4 = 888
Distance of the cross country track
= 9 u
= 9 x 888
= 7992 m
(b)
Andy's speed
= 7992 ÷ 37
= 216 m/min
Usha's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 7992 m; (b) 120 m/min