Lynn and Michael started running together along a cross country track. When Michael completed the track in 44 minutes, Lynn had run only
47 of the track. Lynn’s average speed was 99 m/min slower than Michael’s.
- How long was the cross country track in m?
- Find Lynn’s average speed in m/min.
(a)
When Michael completed the track:
Michael's distance = 7 u
Lynn's distance = 4 u
Extra distance covered by Michael
= 7 u - 4 u
= 3 u
3 u = 99 x 44
3 u = 4356
1 u = 4356 ÷ 3 = 1452
Distance of the cross country track
= 7 u
= 7 x 1452
= 10164 m
(b)
Michael's speed
= 10164 ÷ 44
= 231 m/min
Lynn's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 10164 m; (b) 132 m/min