Emily and Gabriel started running together along a cross country track. When Gabriel completed the track in 29 minutes, Emily had run only
47 of the track. Emily’s average speed was 102 m/min slower than Gabriel’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Gabriel completed the track:
Gabriel's distance = 7 u
Emily's distance = 4 u
Extra distance covered by Gabriel
= 7 u - 4 u
= 3 u
3 u = 102 x 29
3 u = 2958
1 u = 2958 ÷ 3 = 986
Distance of the cross country track
= 7 u
= 7 x 986
= 6902 m
(b)
Gabriel's speed
= 6902 ÷ 29
= 238 m/min
Emily's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 6902 m; (b) 136 m/min