Tammy and John started running together along a cross country track. When John completed the track in 23 minutes, Tammy had run only
58 of the track. Tammy’s average speed was 96 m/min slower than John’s.
- How long was the cross country track in m?
- Find Tammy’s average speed in m/min.
(a)
When John completed the track:
John's distance = 8 u
Tammy's distance = 5 u
Extra distance covered by John
= 8 u - 5 u
= 3 u
3 u = 96 x 23
3 u = 2208
1 u = 2208 ÷ 3 = 736
Distance of the cross country track
= 8 u
= 8 x 736
= 5888 m
(b)
John's speed
= 5888 ÷ 23
= 256 m/min
Tammy's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 5888 m; (b) 160 m/min