Eva and Cathy started off at the same spot and ran at average speeds round a 6-km circular path. Eva took 24 minutes to complete each round. Cathy completed each round in 25 minutes.
- How far ahead of Cathy would Eva be after 1 minute? Express your answer in metres.
- How long would it take Eva to meet Cathy for the first time?
- How many rounds would Eva have completed by then?
(a)
Eva's speed =
624 =
14 km/min
Cathy's speed =
625 km/min
Difference in speeds
=
14 -
625=
25100 -
24100=
1100 km/min
Distance between Eva and Cathy after 1 min
= 1 x
1100=
1100 km
1 km = 1000 m
1100 km =
1100 x 1000 = 10
(b)
LCM of 24 and 25 = 600
60 min = 1 h
600 min = 600 ÷ 60 = 10
Eva and Cathy will meet for the first time after 10 h.
(c)
Rounds Eva completed
= 600 ÷ 24
= 25
Answer(s): (a) 10 m; (b) 10 h; (c) 25