Emily and Ryan started running together along a cross country track. When Ryan completed the track in 42 minutes, Emily had run only
49 of the track. Emily’s average speed was 95 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 9 u
Emily's distance = 4 u
Extra distance covered by Ryan
= 9 u - 4 u
= 5 u
5 u = 95 x 42
5 u = 3990
1 u = 3990 ÷ 5 = 798
Distance of the cross country track
= 9 u
= 9 x 798
= 7182 m
(b)
Ryan's speed
= 7182 ÷ 42
= 171 m/min
Emily's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 7182 m; (b) 76 m/min