Gabby and Jeremy started running together along a cross country track. When Jeremy completed the track in 28 minutes, Gabby had run only
59 of the track. Gabby’s average speed was 112 m/min slower than Jeremy’s.
- How long was the cross country track in m?
- Find Gabby’s average speed in m/min.
(a)
When Jeremy completed the track:
Jeremy's distance = 9 u
Gabby's distance = 5 u
Extra distance covered by Jeremy
= 9 u - 5 u
= 4 u
4 u = 112 x 28
4 u = 3136
1 u = 3136 ÷ 4 = 784
Distance of the cross country track
= 9 u
= 9 x 784
= 7056 m
(b)
Jeremy's speed
= 7056 ÷ 28
= 252 m/min
Gabby's speed
= 252 - 112
= 140 m/min
Answer(s): (a) 7056 m; (b) 140 m/min