Lucy and Japheth started running together along a cross country track. When Japheth completed the track in 44 minutes, Lucy had run only
47 of the track. Lucy’s average speed was 96 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 7 u
Lucy's distance = 4 u
Extra distance covered by Japheth
= 7 u - 4 u
= 3 u
3 u = 96 x 44
3 u = 4224
1 u = 4224 ÷ 3 = 1408
Distance of the cross country track
= 7 u
= 7 x 1408
= 9856 m
(b)
Japheth's speed
= 9856 ÷ 44
= 224 m/min
Lucy's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 9856 m; (b) 128 m/min