Irene and Will started running together along a cross country track. When Will completed the track in 22 minutes, Irene had run only
38 of the track. Irene’s average speed was 105 m/min slower than Will’s.
- How long was the cross country track in m?
- Find Irene’s average speed in m/min.
(a)
When Will completed the track:
Will's distance = 8 u
Irene's distance = 3 u
Extra distance covered by Will
= 8 u - 3 u
= 5 u
5 u = 105 x 22
5 u = 2310
1 u = 2310 ÷ 5 = 462
Distance of the cross country track
= 8 u
= 8 x 462
= 3696 m
(b)
Will's speed
= 3696 ÷ 22
= 168 m/min
Irene's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 3696 m; (b) 63 m/min