Gwen and Eric started running together along a cross country track. When Eric completed the track in 34 minutes, Gwen had run only
37 of the track. Gwen’s average speed was 108 m/min slower than Eric’s.
- How long was the cross country track in m?
- Find Gwen’s average speed in m/min.
(a)
When Eric completed the track:
Eric's distance = 7 u
Gwen's distance = 3 u
Extra distance covered by Eric
= 7 u - 3 u
= 4 u
4 u = 108 x 34
4 u = 3672
1 u = 3672 ÷ 4 = 918
Distance of the cross country track
= 7 u
= 7 x 918
= 6426 m
(b)
Eric's speed
= 6426 ÷ 34
= 189 m/min
Gwen's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 6426 m; (b) 81 m/min