Marion and Zane started running together along a cross country track. When Zane completed the track in 30 minutes, Marion had run only
13 of the track. Marion’s average speed was 106 m/min slower than Zane’s.
- How long was the cross country track in m?
- Find Marion’s average speed in m/min.
(a)
When Zane completed the track:
Zane's distance = 3 u
Marion's distance = 1 u
Extra distance covered by Zane
= 3 u - 1 u
= 2 u
2 u = 106 x 30
2 u = 3180
1 u = 3180 ÷ 2 = 1590
Distance of the cross country track
= 3 u
= 3 x 1590
= 4770 m
(b)
Zane's speed
= 4770 ÷ 30
= 159 m/min
Marion's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 4770 m; (b) 53 m/min