Nicole and Tom started running together along a cross country track. When Tom completed the track in 49 minutes, Nicole had run only
38 of the track. Nicole’s average speed was 115 m/min slower than Tom’s.
- How long was the cross country track in m?
- Find Nicole’s average speed in m/min.
(a)
When Tom completed the track:
Tom's distance = 8 u
Nicole's distance = 3 u
Extra distance covered by Tom
= 8 u - 3 u
= 5 u
5 u = 115 x 49
5 u = 5635
1 u = 5635 ÷ 5 = 1127
Distance of the cross country track
= 8 u
= 8 x 1127
= 9016 m
(b)
Tom's speed
= 9016 ÷ 49
= 184 m/min
Nicole's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 9016 m; (b) 69 m/min