Emily and Japheth started running together along a cross country track. When Japheth completed the track in 39 minutes, Emily had run only
37 of the track. Emily’s average speed was 96 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 7 u
Emily's distance = 3 u
Extra distance covered by Japheth
= 7 u - 3 u
= 4 u
4 u = 96 x 39
4 u = 3744
1 u = 3744 ÷ 4 = 936
Distance of the cross country track
= 7 u
= 7 x 936
= 6552 m
(b)
Japheth's speed
= 6552 ÷ 39
= 168 m/min
Emily's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 6552 m; (b) 72 m/min