Marion and Nicole started off at the same spot and ran at average speeds round a 3-km circular path. Marion took 12 minutes to complete each round. Nicole completed each round in 25 minutes.
- How far ahead of Nicole would Marion be after 3 minute? Express your answer in metres.
- How long would it take Marion to meet Nicole for the first time?
- How many rounds would Marion have completed by then?
(a)
Marion's speed =
312 =
14 km/min
Nicole's speed =
325 km/min
Difference in speeds
=
14 -
325=
25100 -
12100=
13100 km/min
Distance between Marion and Nicole after 3 min
= 3 x
13100=
39100 km
1 km = 1000 m
39100 km =
39100 x 1000 = 390
(b)
LCM of 12 and 25 = 300
60 min = 1 h
300 min = 300 ÷ 60 = 5
Marion and Nicole will meet for the first time after 5 h.
(c)
Rounds Marion completed
= 300 ÷ 12
= 25
Answer(s): (a) 390 m; (b) 5 h; (c) 25