Nicole and Japheth started running together along a cross country track. When Japheth completed the track in 44 minutes, Nicole had run only
37 of the track. Nicole’s average speed was 96 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Nicole’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 7 u
Nicole's distance = 3 u
Extra distance covered by Japheth
= 7 u - 3 u
= 4 u
4 u = 96 x 44
4 u = 4224
1 u = 4224 ÷ 4 = 1056
Distance of the cross country track
= 7 u
= 7 x 1056
= 7392 m
(b)
Japheth's speed
= 7392 ÷ 44
= 168 m/min
Nicole's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 7392 m; (b) 72 m/min