Roshel and Sam started running together along a cross country track. When Sam completed the track in 42 minutes, Roshel had run only
35 of the track. Roshel’s average speed was 98 m/min slower than Sam’s.
- How long was the cross country track in m?
- Find Roshel’s average speed in m/min.
(a)
When Sam completed the track:
Sam's distance = 5 u
Roshel's distance = 3 u
Extra distance covered by Sam
= 5 u - 3 u
= 2 u
2 u = 98 x 42
2 u = 4116
1 u = 4116 ÷ 2 = 2058
Distance of the cross country track
= 5 u
= 5 x 2058
= 10290 m
(b)
Sam's speed
= 10290 ÷ 42
= 245 m/min
Roshel's speed
= 245 - 98
= 147 m/min
Answer(s): (a) 10290 m; (b) 147 m/min