Penelope and Gwen started off at the same spot and ran at average speeds round a 3-km circular path. Penelope took 12 minutes to complete each round. Gwen completed each round in 25 minutes.
- How far ahead of Gwen would Penelope be after 6 minute? Express your answer in metres.
- How long would it take Penelope to meet Gwen for the first time?
- How many rounds would Penelope have completed by then?
(a)
Penelope's speed =
312 =
14 km/min
Gwen's speed =
325 km/min
Difference in speeds
=
14 -
325=
25100 -
12100=
13100 km/min
Distance between Penelope and Gwen after 6 min
= 6 x
13100=
78100 km
1 km = 1000 m
78100 km =
78100 x 1000 = 780
(b)
LCM of 12 and 25 = 300
60 min = 1 h
300 min = 300 ÷ 60 = 5
Penelope and Gwen will meet for the first time after 5 h.
(c)
Rounds Penelope completed
= 300 ÷ 12
= 25
Answer(s): (a) 780 m; (b) 5 h; (c) 25