Nicole and Eric started running together along a cross country track. When Eric completed the track in 34 minutes, Nicole had run only
13 of the track. Nicole’s average speed was 106 m/min slower than Eric’s.
- How long was the cross country track in m?
- Find Nicole’s average speed in m/min.
(a)
When Eric completed the track:
Eric's distance = 3 u
Nicole's distance = 1 u
Extra distance covered by Eric
= 3 u - 1 u
= 2 u
2 u = 106 x 34
2 u = 3604
1 u = 3604 ÷ 2 = 1802
Distance of the cross country track
= 3 u
= 3 x 1802
= 5406 m
(b)
Eric's speed
= 5406 ÷ 34
= 159 m/min
Nicole's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 5406 m; (b) 53 m/min