Wendy and Tom started running together along a cross country track. When Tom completed the track in 24 minutes, Wendy had run only
38 of the track. Wendy’s average speed was 95 m/min slower than Tom’s.
- How long was the cross country track in m?
- Find Wendy’s average speed in m/min.
(a)
When Tom completed the track:
Tom's distance = 8 u
Wendy's distance = 3 u
Extra distance covered by Tom
= 8 u - 3 u
= 5 u
5 u = 95 x 24
5 u = 2280
1 u = 2280 ÷ 5 = 456
Distance of the cross country track
= 8 u
= 8 x 456
= 3648 m
(b)
Tom's speed
= 3648 ÷ 24
= 152 m/min
Wendy's speed
= 152 - 95
= 57 m/min
Answer(s): (a) 3648 m; (b) 57 m/min