Barbara and Henry started running together along a cross country track. When Henry completed the track in 42 minutes, Barbara had run only
49 of the track. Barbara’s average speed was 110 m/min slower than Henry’s.
- How long was the cross country track in m?
- Find Barbara’s average speed in m/min.
(a)
When Henry completed the track:
Henry's distance = 9 u
Barbara's distance = 4 u
Extra distance covered by Henry
= 9 u - 4 u
= 5 u
5 u = 110 x 42
5 u = 4620
1 u = 4620 ÷ 5 = 924
Distance of the cross country track
= 9 u
= 9 x 924
= 8316 m
(b)
Henry's speed
= 8316 ÷ 42
= 198 m/min
Barbara's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 8316 m; (b) 88 m/min