Eva and Hazel started off at the same spot and ran at average speeds round a 3-km circular path. Eva took 18 minutes to complete each round. Hazel completed each round in 20 minutes.
- How far ahead of Hazel would Eva be after 6 minute? Express your answer in metres.
- How long would it take Eva to meet Hazel for the first time?
- How many rounds would Eva have completed by then?
(a)
Eva's speed =
318 =
16 km/min
Hazel's speed =
320 km/min
Difference in speeds
=
16 -
320=
1060 -
960=
160 km/min
Distance between Eva and Hazel after 6 min
= 6 x
160=
660 km
1 km = 1000 m
660 km =
660 x 1000 = 100
(b)
LCM of 18 and 20 = 180
60 min = 1 h
180 min = 180 ÷ 60 = 3
Eva and Hazel will meet for the first time after 3 h.
(c)
Rounds Eva completed
= 180 ÷ 18
= 10
Answer(s): (a) 100 m; (b) 3 h; (c) 10