Emma and Howard started running together along a cross country track. When Howard completed the track in 42 minutes, Emma had run only
38 of the track. Emma’s average speed was 110 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Emma’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 8 u
Emma's distance = 3 u
Extra distance covered by Howard
= 8 u - 3 u
= 5 u
5 u = 110 x 42
5 u = 4620
1 u = 4620 ÷ 5 = 924
Distance of the cross country track
= 8 u
= 8 x 924
= 7392 m
(b)
Howard's speed
= 7392 ÷ 42
= 176 m/min
Emma's speed
= 176 - 110
= 66 m/min
Answer(s): (a) 7392 m; (b) 66 m/min