Gwen and Ryan started running together along a cross country track. When Ryan completed the track in 26 minutes, Gwen had run only
49 of the track. Gwen’s average speed was 95 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Gwen’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 9 u
Gwen's distance = 4 u
Extra distance covered by Ryan
= 9 u - 4 u
= 5 u
5 u = 95 x 26
5 u = 2470
1 u = 2470 ÷ 5 = 494
Distance of the cross country track
= 9 u
= 9 x 494
= 4446 m
(b)
Ryan's speed
= 4446 ÷ 26
= 171 m/min
Gwen's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 4446 m; (b) 76 m/min