Vanessa and Elijah started running together along a cross country track. When Elijah completed the track in 37 minutes, Vanessa had run only
47 of the track. Vanessa’s average speed was 111 m/min slower than Elijah’s.
- How long was the cross country track in m?
- Find Vanessa’s average speed in m/min.
(a)
When Elijah completed the track:
Elijah's distance = 7 u
Vanessa's distance = 4 u
Extra distance covered by Elijah
= 7 u - 4 u
= 3 u
3 u = 111 x 37
3 u = 4107
1 u = 4107 ÷ 3 = 1369
Distance of the cross country track
= 7 u
= 7 x 1369
= 9583 m
(b)
Elijah's speed
= 9583 ÷ 37
= 259 m/min
Vanessa's speed
= 259 - 111
= 148 m/min
Answer(s): (a) 9583 m; (b) 148 m/min