Lynn and Owen started off from the same place and drove at uniform speeds in the same direction round a 50 km circular racing track. Lynn completed each round in 50 minutes. Owen took 100 minutes to complete each round.
- How far would Owen be behind Lynn after 1 hour?
- How long after they started would it take Lynn to meet Owen for the first time? Express your answer as a whole or mixed number in h.
(a)
60 min = 1 h
1 min =
160 h
50 min =
5060 h =
56 h
100 min =
10060 h = 1
23 h
Lynn's speed
= 50 ÷
56= 50 x
65= 60 km/h
Owen's speed
= 50 ÷ 1
23= 50 x
35= 30 km/h
Distance between Lynn and Owen after 1 hour
= 60 - 30
= 30 km
(b)
LCM of 50 and 100 = 100
100 min =
10060 h = 1
23 h
Time needed for Lynn to meet Owen for the first time = 1
23 h
Answer(s): (a) 30 km; (b) 1
23 h