Gwen and Diana started off at the same spot and ran at average speeds round a 3-km circular path. Gwen took 24 minutes to complete each round. Diana completed each round in 25 minutes.
- How far ahead of Diana would Gwen be after 9 minute? Express your answer in metres.
- How long would it take Gwen to meet Diana for the first time?
- How many rounds would Gwen have completed by then?
(a)
Gwen's speed =
324 =
18 km/min
Diana's speed =
325 km/min
Difference in speeds
=
18 -
325=
25200 -
24200=
1200 km/min
Distance between Gwen and Diana after 9 min
= 9 x
1200=
9200 km
1 km = 1000 m
9200 km =
9200 x 1000 = 45
(b)
LCM of 24 and 25 = 600
60 min = 1 h
600 min = 600 ÷ 60 = 10
Gwen and Diana will meet for the first time after 10 h.
(c)
Rounds Gwen completed
= 600 ÷ 24
= 25
Answer(s): (a) 45 m; (b) 10 h; (c) 25