Pamela and Simon started running together along a cross country track. When Simon completed the track in 47 minutes, Pamela had run only
37 of the track. Pamela’s average speed was 108 m/min slower than Simon’s.
- How long was the cross country track in m?
- Find Pamela’s average speed in m/min.
(a)
When Simon completed the track:
Simon's distance = 7 u
Pamela's distance = 3 u
Extra distance covered by Simon
= 7 u - 3 u
= 4 u
4 u = 108 x 47
4 u = 5076
1 u = 5076 ÷ 4 = 1269
Distance of the cross country track
= 7 u
= 7 x 1269
= 8883 m
(b)
Simon's speed
= 8883 ÷ 47
= 189 m/min
Pamela's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 8883 m; (b) 81 m/min