Victoria and Gabby started off at the same spot and ran at average speeds round a 4-km circular path. Victoria took 24 minutes to complete each round. Gabby completed each round in 25 minutes.
- How far ahead of Gabby would Victoria be after 3 minute? Express your answer in metres.
- How long would it take Victoria to meet Gabby for the first time?
- How many rounds would Victoria have completed by then?
(a)
Victoria's speed =
424 =
16 km/min
Gabby's speed =
425 km/min
Difference in speeds
=
16 -
425=
25150 -
24150=
1150 km/min
Distance between Victoria and Gabby after 3 min
= 3 x
1150=
3150 km
1 km = 1000 m
3150 km =
3150 x 1000 = 20
(b)
LCM of 24 and 25 = 600
60 min = 1 h
600 min = 600 ÷ 60 = 10
Victoria and Gabby will meet for the first time after 10 h.
(c)
Rounds Victoria completed
= 600 ÷ 24
= 25
Answer(s): (a) 20 m; (b) 10 h; (c) 25