Barbara and Valen started running together along a cross country track. When Valen completed the track in 36 minutes, Barbara had run only
59 of the track. Barbara’s average speed was 96 m/min slower than Valen’s.
- How long was the cross country track in m?
- Find Barbara’s average speed in m/min.
(a)
When Valen completed the track:
Valen's distance = 9 u
Barbara's distance = 5 u
Extra distance covered by Valen
= 9 u - 5 u
= 4 u
4 u = 96 x 36
4 u = 3456
1 u = 3456 ÷ 4 = 864
Distance of the cross country track
= 9 u
= 9 x 864
= 7776 m
(b)
Valen's speed
= 7776 ÷ 36
= 216 m/min
Barbara's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 7776 m; (b) 120 m/min