Jen and Eric started running together along a cross country track. When Eric completed the track in 41 minutes, Jen had run only
47 of the track. Jen’s average speed was 96 m/min slower than Eric’s.
- How long was the cross country track in m?
- Find Jen’s average speed in m/min.
(a)
When Eric completed the track:
Eric's distance = 7 u
Jen's distance = 4 u
Extra distance covered by Eric
= 7 u - 4 u
= 3 u
3 u = 96 x 41
3 u = 3936
1 u = 3936 ÷ 3 = 1312
Distance of the cross country track
= 7 u
= 7 x 1312
= 9184 m
(b)
Eric's speed
= 9184 ÷ 41
= 224 m/min
Jen's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 9184 m; (b) 128 m/min