Marion and Billy started running together along a cross country track. When Billy completed the track in 37 minutes, Marion had run only
38 of the track. Marion’s average speed was 95 m/min slower than Billy’s.
- How long was the cross country track in m?
- Find Marion’s average speed in m/min.
(a)
When Billy completed the track:
Billy's distance = 8 u
Marion's distance = 3 u
Extra distance covered by Billy
= 8 u - 3 u
= 5 u
5 u = 95 x 37
5 u = 3515
1 u = 3515 ÷ 5 = 703
Distance of the cross country track
= 8 u
= 8 x 703
= 5624 m
(b)
Billy's speed
= 5624 ÷ 37
= 152 m/min
Marion's speed
= 152 - 95
= 57 m/min
Answer(s): (a) 5624 m; (b) 57 m/min