Mary and Tommy started running together along a cross country track. When Tommy completed the track in 50 minutes, Mary had run only
47 of the track. Mary’s average speed was 99 m/min slower than Tommy’s.
- How long was the cross country track in m?
- Find Mary’s average speed in m/min.
(a)
When Tommy completed the track:
Tommy's distance = 7 u
Mary's distance = 4 u
Extra distance covered by Tommy
= 7 u - 4 u
= 3 u
3 u = 99 x 50
3 u = 4950
1 u = 4950 ÷ 3 = 1650
Distance of the cross country track
= 7 u
= 7 x 1650
= 11550 m
(b)
Tommy's speed
= 11550 ÷ 50
= 231 m/min
Mary's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 11550 m; (b) 132 m/min