Penelope and Brandon started running together along a cross country track. When Brandon completed the track in 39 minutes, Penelope had run only
35 of the track. Penelope’s average speed was 106 m/min slower than Brandon’s.
- How long was the cross country track in m?
- Find Penelope’s average speed in m/min.
(a)
When Brandon completed the track:
Brandon's distance = 5 u
Penelope's distance = 3 u
Extra distance covered by Brandon
= 5 u - 3 u
= 2 u
2 u = 106 x 39
2 u = 4134
1 u = 4134 ÷ 2 = 2067
Distance of the cross country track
= 5 u
= 5 x 2067
= 10335 m
(b)
Brandon's speed
= 10335 ÷ 39
= 265 m/min
Penelope's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 10335 m; (b) 159 m/min