Xuan and Tom started running together along a cross country track. When Tom completed the track in 24 minutes, Xuan had run only
13 of the track. Xuan’s average speed was 98 m/min slower than Tom’s.
- How long was the cross country track in m?
- Find Xuan’s average speed in m/min.
(a)
When Tom completed the track:
Tom's distance = 3 u
Xuan's distance = 1 u
Extra distance covered by Tom
= 3 u - 1 u
= 2 u
2 u = 98 x 24
2 u = 2352
1 u = 2352 ÷ 2 = 1176
Distance of the cross country track
= 3 u
= 3 x 1176
= 3528 m
(b)
Tom's speed
= 3528 ÷ 24
= 147 m/min
Xuan's speed
= 147 - 98
= 49 m/min
Answer(s): (a) 3528 m; (b) 49 m/min