Sarah and Fabian started off from the same place and drove at uniform speeds in the same direction round a 60 km circular racing track. Sarah completed each round in 40 minutes. Fabian took 100 minutes to complete each round.
- How far would Fabian be behind Sarah after 1 hour?
- How long after they started would it take Sarah to meet Fabian for the first time? Express your answer as a whole or mixed number in h.
(a)
60 min = 1 h
1 min =
160 h
40 min =
4060 h =
23 h
100 min =
10060 h = 1
23 h
Sarah's speed
= 60 ÷
23= 60 x
32= 90 km/h
Fabian's speed
= 60 ÷ 1
23= 60 x
35= 36 km/h
Distance between Sarah and Fabian after 1 hour
= 90 - 36
= 54 km
(b)
LCM of 40 and 100 = 200
200 min =
20060 h = 3
13 h
Time needed for Sarah to meet Fabian for the first time = 3
13 h
Answer(s): (a) 54 km; (b) 3
13 h