Gem and Abi started off at the same spot and ran at average speeds round a 3-km circular path. Gem took 12 minutes to complete each round. Abi completed each round in 25 minutes.
- How far ahead of Abi would Gem be after 9 minute? Express your answer in metres.
- How long would it take Gem to meet Abi for the first time?
- How many rounds would Gem have completed by then?
(a)
Gem's speed =
312 =
14 km/min
Abi's speed =
325 km/min
Difference in speeds
=
14 -
325=
25100 -
12100=
13100 km/min
Distance between Gem and Abi after 9 min
= 9 x
13100= 1
17100 km
1 km = 1000 m
1
17100 km = 1
17100 x 1000 = 1170
(b)
LCM of 12 and 25 = 300
60 min = 1 h
300 min = 300 ÷ 60 = 5
Gem and Abi will meet for the first time after 5 h.
(c)
Rounds Gem completed
= 300 ÷ 12
= 25
Answer(s): (a) 1170 m; (b) 5 h; (c) 25