Marion and Ryan started running together along a cross country track. When Ryan completed the track in 41 minutes, Marion had run only
58 of the track. Marion’s average speed was 96 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Marion’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 8 u
Marion's distance = 5 u
Extra distance covered by Ryan
= 8 u - 5 u
= 3 u
3 u = 96 x 41
3 u = 3936
1 u = 3936 ÷ 3 = 1312
Distance of the cross country track
= 8 u
= 8 x 1312
= 10496 m
(b)
Ryan's speed
= 10496 ÷ 41
= 256 m/min
Marion's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 10496 m; (b) 160 m/min