Jane and Eric started running together along a cross country track. When Eric completed the track in 38 minutes, Jane had run only
13 of the track. Jane’s average speed was 108 m/min slower than Eric’s.
- How long was the cross country track in m?
- Find Jane’s average speed in m/min.
(a)
When Eric completed the track:
Eric's distance = 3 u
Jane's distance = 1 u
Extra distance covered by Eric
= 3 u - 1 u
= 2 u
2 u = 108 x 38
2 u = 4104
1 u = 4104 ÷ 2 = 2052
Distance of the cross country track
= 3 u
= 3 x 2052
= 6156 m
(b)
Eric's speed
= 6156 ÷ 38
= 162 m/min
Jane's speed
= 162 - 108
= 54 m/min
Answer(s): (a) 6156 m; (b) 54 m/min