Linda and Ryan started off from the same place and drove at uniform speeds in the same direction round a 35 km circular racing track. Linda completed each round in 60 minutes. Ryan took 100 minutes to complete each round.
- How far would Ryan be behind Linda after 1 hour?
- How long after they started would it take Linda to meet Ryan for the first time? Express your answer as a whole or mixed number in h.
(a)
60 min = 1 h
1 min =
160 h
60 min =
6060 h = 1 h
100 min =
10060 h = 1
23 h
Linda's speed
= 35 ÷ 1
= 35 x
11= 35 km/h
Ryan's speed
= 35 ÷ 1
23= 35 x
35= 21 km/h
Distance between Linda and Ryan after 1 hour
= 35 - 21
= 14 km
(b)
LCM of 60 and 100 = 300
300 min =
30060 h = 5 h
Time needed for Linda to meet Ryan for the first time = 5 h
Answer(s): (a) 14 km; (b) 5 h