Betty and Mark started running together along a cross country track. When Mark completed the track in 21 minutes, Betty had run only
49 of the track. Betty’s average speed was 115 m/min slower than Mark’s.
- How long was the cross country track in m?
- Find Betty’s average speed in m/min.
(a)
When Mark completed the track:
Mark's distance = 9 u
Betty's distance = 4 u
Extra distance covered by Mark
= 9 u - 4 u
= 5 u
5 u = 115 x 21
5 u = 2415
1 u = 2415 ÷ 5 = 483
Distance of the cross country track
= 9 u
= 9 x 483
= 4347 m
(b)
Mark's speed
= 4347 ÷ 21
= 207 m/min
Betty's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 4347 m; (b) 92 m/min