Gabby and Vaidev started running together along a cross country track. When Vaidev completed the track in 47 minutes, Gabby had run only
38 of the track. Gabby’s average speed was 105 m/min slower than Vaidev’s.
- How long was the cross country track in m?
- Find Gabby’s average speed in m/min.
(a)
When Vaidev completed the track:
Vaidev's distance = 8 u
Gabby's distance = 3 u
Extra distance covered by Vaidev
= 8 u - 3 u
= 5 u
5 u = 105 x 47
5 u = 4935
1 u = 4935 ÷ 5 = 987
Distance of the cross country track
= 8 u
= 8 x 987
= 7896 m
(b)
Vaidev's speed
= 7896 ÷ 47
= 168 m/min
Gabby's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 7896 m; (b) 63 m/min