Abi and Billy started running together along a cross country track. When Billy completed the track in 37 minutes, Abi had run only
13 of the track. Abi’s average speed was 104 m/min slower than Billy’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Billy completed the track:
Billy's distance = 3 u
Abi's distance = 1 u
Extra distance covered by Billy
= 3 u - 1 u
= 2 u
2 u = 104 x 37
2 u = 3848
1 u = 3848 ÷ 2 = 1924
Distance of the cross country track
= 3 u
= 3 x 1924
= 5772 m
(b)
Billy's speed
= 5772 ÷ 37
= 156 m/min
Abi's speed
= 156 - 104
= 52 m/min
Answer(s): (a) 5772 m; (b) 52 m/min