Eva and Billy started running together along a cross country track. When Billy completed the track in 48 minutes, Eva had run only
47 of the track. Eva’s average speed was 99 m/min slower than Billy’s.
- How long was the cross country track in m?
- Find Eva’s average speed in m/min.
(a)
When Billy completed the track:
Billy's distance = 7 u
Eva's distance = 4 u
Extra distance covered by Billy
= 7 u - 4 u
= 3 u
3 u = 99 x 48
3 u = 4752
1 u = 4752 ÷ 3 = 1584
Distance of the cross country track
= 7 u
= 7 x 1584
= 11088 m
(b)
Billy's speed
= 11088 ÷ 48
= 231 m/min
Eva's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 11088 m; (b) 132 m/min