Raeann and Jane started off at the same spot and ran at average speeds round a 6-km circular path. Raeann took 12 minutes to complete each round. Jane completed each round in 25 minutes.
- How far ahead of Jane would Raeann be after 6 minute? Express your answer in metres.
- How long would it take Raeann to meet Jane for the first time?
- How many rounds would Raeann have completed by then?
(a)
Raeann's speed =
612 =
12 km/min
Jane's speed =
625 km/min
Difference in speeds
=
12 -
625=
2550 -
1250=
1350 km/min
Distance between Raeann and Jane after 6 min
= 6 x
1350= 1
2850 km
1 km = 1000 m
1
2850 km = 1
2850 x 1000 = 1560
(b)
LCM of 12 and 25 = 300
60 min = 1 h
300 min = 300 ÷ 60 = 5
Raeann and Jane will meet for the first time after 5 h.
(c)
Rounds Raeann completed
= 300 ÷ 12
= 25
Answer(s): (a) 1560 m; (b) 5 h; (c) 25