Abi and Vanessa started off at the same spot and ran at average speeds round a 6-km circular path. Abi took 12 minutes to complete each round. Vanessa completed each round in 25 minutes.
- How far ahead of Vanessa would Abi be after 9 minute? Express your answer in metres.
- How long would it take Abi to meet Vanessa for the first time?
- How many rounds would Abi have completed by then?
(a)
Abi's speed =
612 =
12 km/min
Vanessa's speed =
625 km/min
Difference in speeds
=
12 -
625=
2550 -
1250=
1350 km/min
Distance between Abi and Vanessa after 9 min
= 9 x
1350= 2
1750 km
1 km = 1000 m
2
1750 km = 2
1750 x 1000 = 2340
(b)
LCM of 12 and 25 = 300
60 min = 1 h
300 min = 300 ÷ 60 = 5
Abi and Vanessa will meet for the first time after 5 h.
(c)
Rounds Abi completed
= 300 ÷ 12
= 25
Answer(s): (a) 2340 m; (b) 5 h; (c) 25