Kylie and Japheth started running together along a cross country track. When Japheth completed the track in 47 minutes, Kylie had run only
49 of the track. Kylie’s average speed was 95 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Kylie’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 9 u
Kylie's distance = 4 u
Extra distance covered by Japheth
= 9 u - 4 u
= 5 u
5 u = 95 x 47
5 u = 4465
1 u = 4465 ÷ 5 = 893
Distance of the cross country track
= 9 u
= 9 x 893
= 8037 m
(b)
Japheth's speed
= 8037 ÷ 47
= 171 m/min
Kylie's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 8037 m; (b) 76 m/min