Erika and Julian started running together along a cross country track. When Julian completed the track in 23 minutes, Erika had run only
13 of the track. Erika’s average speed was 114 m/min slower than Julian’s.
- How long was the cross country track in m?
- Find Erika’s average speed in m/min.
(a)
When Julian completed the track:
Julian's distance = 3 u
Erika's distance = 1 u
Extra distance covered by Julian
= 3 u - 1 u
= 2 u
2 u = 114 x 23
2 u = 2622
1 u = 2622 ÷ 2 = 1311
Distance of the cross country track
= 3 u
= 3 x 1311
= 3933 m
(b)
Julian's speed
= 3933 ÷ 23
= 171 m/min
Erika's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 3933 m; (b) 57 m/min