Natalie and Ryan started running together along a cross country track. When Ryan completed the track in 49 minutes, Natalie had run only
49 of the track. Natalie’s average speed was 110 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Natalie’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 9 u
Natalie's distance = 4 u
Extra distance covered by Ryan
= 9 u - 4 u
= 5 u
5 u = 110 x 49
5 u = 5390
1 u = 5390 ÷ 5 = 1078
Distance of the cross country track
= 9 u
= 9 x 1078
= 9702 m
(b)
Ryan's speed
= 9702 ÷ 49
= 198 m/min
Natalie's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 9702 m; (b) 88 m/min