Pamela and Gabriel started running together along a cross country track. When Gabriel completed the track in 50 minutes, Pamela had run only
47 of the track. Pamela’s average speed was 102 m/min slower than Gabriel’s.
- How long was the cross country track in m?
- Find Pamela’s average speed in m/min.
(a)
When Gabriel completed the track:
Gabriel's distance = 7 u
Pamela's distance = 4 u
Extra distance covered by Gabriel
= 7 u - 4 u
= 3 u
3 u = 102 x 50
3 u = 5100
1 u = 5100 ÷ 3 = 1700
Distance of the cross country track
= 7 u
= 7 x 1700
= 11900 m
(b)
Gabriel's speed
= 11900 ÷ 50
= 238 m/min
Pamela's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 11900 m; (b) 136 m/min