Penelope and Lee started running together along a cross country track. When Lee completed the track in 32 minutes, Penelope had run only
13 of the track. Penelope’s average speed was 110 m/min slower than Lee’s.
- How long was the cross country track in m?
- Find Penelope’s average speed in m/min.
(a)
When Lee completed the track:
Lee's distance = 3 u
Penelope's distance = 1 u
Extra distance covered by Lee
= 3 u - 1 u
= 2 u
2 u = 110 x 32
2 u = 3520
1 u = 3520 ÷ 2 = 1760
Distance of the cross country track
= 3 u
= 3 x 1760
= 5280 m
(b)
Lee's speed
= 5280 ÷ 32
= 165 m/min
Penelope's speed
= 165 - 110
= 55 m/min
Answer(s): (a) 5280 m; (b) 55 m/min