Esther and Howard started running together along a cross country track. When Howard completed the track in 29 minutes, Esther had run only
13 of the track. Esther’s average speed was 106 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Esther’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 3 u
Esther's distance = 1 u
Extra distance covered by Howard
= 3 u - 1 u
= 2 u
2 u = 106 x 29
2 u = 3074
1 u = 3074 ÷ 2 = 1537
Distance of the cross country track
= 3 u
= 3 x 1537
= 4611 m
(b)
Howard's speed
= 4611 ÷ 29
= 159 m/min
Esther's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 4611 m; (b) 53 m/min