Nora and Mary started off at the same spot and ran at average speeds round a 3-km circular path. Nora took 18 minutes to complete each round. Mary completed each round in 20 minutes.
- How far ahead of Mary would Nora be after 9 minute? Express your answer in metres.
- How long would it take Nora to meet Mary for the first time?
- How many rounds would Nora have completed by then?
(a)
Nora's speed =
318 =
16 km/min
Mary's speed =
320 km/min
Difference in speeds
=
16 -
320=
1060 -
960=
160 km/min
Distance between Nora and Mary after 9 min
= 9 x
160=
960 km
1 km = 1000 m
960 km =
960 x 1000 = 150
(b)
LCM of 18 and 20 = 180
60 min = 1 h
180 min = 180 ÷ 60 = 3
Nora and Mary will meet for the first time after 3 h.
(c)
Rounds Nora completed
= 180 ÷ 18
= 10
Answer(s): (a) 150 m; (b) 3 h; (c) 10