Tiffany and Japheth started running together along a cross country track. When Japheth completed the track in 35 minutes, Tiffany had run only
58 of the track. Tiffany’s average speed was 96 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Tiffany’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 8 u
Tiffany's distance = 5 u
Extra distance covered by Japheth
= 8 u - 5 u
= 3 u
3 u = 96 x 35
3 u = 3360
1 u = 3360 ÷ 3 = 1120
Distance of the cross country track
= 8 u
= 8 x 1120
= 8960 m
(b)
Japheth's speed
= 8960 ÷ 35
= 256 m/min
Tiffany's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 8960 m; (b) 160 m/min