Erika and Gabriel started running together along a cross country track. When Gabriel completed the track in 46 minutes, Erika had run only
13 of the track. Erika’s average speed was 108 m/min slower than Gabriel’s.
- How long was the cross country track in m?
- Find Erika’s average speed in m/min.
(a)
When Gabriel completed the track:
Gabriel's distance = 3 u
Erika's distance = 1 u
Extra distance covered by Gabriel
= 3 u - 1 u
= 2 u
2 u = 108 x 46
2 u = 4968
1 u = 4968 ÷ 2 = 2484
Distance of the cross country track
= 3 u
= 3 x 2484
= 7452 m
(b)
Gabriel's speed
= 7452 ÷ 46
= 162 m/min
Erika's speed
= 162 - 108
= 54 m/min
Answer(s): (a) 7452 m; (b) 54 m/min