Jen and George started running together along a cross country track. When George completed the track in 35 minutes, Jen had run only
13 of the track. Jen’s average speed was 112 m/min slower than George’s.
- How long was the cross country track in m?
- Find Jen’s average speed in m/min.
(a)
When George completed the track:
George's distance = 3 u
Jen's distance = 1 u
Extra distance covered by George
= 3 u - 1 u
= 2 u
2 u = 112 x 35
2 u = 3920
1 u = 3920 ÷ 2 = 1960
Distance of the cross country track
= 3 u
= 3 x 1960
= 5880 m
(b)
George's speed
= 5880 ÷ 35
= 168 m/min
Jen's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 5880 m; (b) 56 m/min