Emma and Perry started running together along a cross country track. When Perry completed the track in 26 minutes, Emma had run only
38 of the track. Emma’s average speed was 95 m/min slower than Perry’s.
- How long was the cross country track in m?
- Find Emma’s average speed in m/min.
(a)
When Perry completed the track:
Perry's distance = 8 u
Emma's distance = 3 u
Extra distance covered by Perry
= 8 u - 3 u
= 5 u
5 u = 95 x 26
5 u = 2470
1 u = 2470 ÷ 5 = 494
Distance of the cross country track
= 8 u
= 8 x 494
= 3952 m
(b)
Perry's speed
= 3952 ÷ 26
= 152 m/min
Emma's speed
= 152 - 95
= 57 m/min
Answer(s): (a) 3952 m; (b) 57 m/min