Linda and Daniel started off from the same place and drove at uniform speeds in the same direction round a 60 km circular racing track. Linda completed each round in 80 minutes. Daniel took 100 minutes to complete each round.
- How far would Daniel be behind Linda after 1 hour?
- How long after they started would it take Linda to meet Daniel for the first time? Express your answer as a whole or mixed number in h.
(a)
60 min = 1 h
1 min =
160 h
80 min =
8060 h = 1
13 h
100 min =
10060 h = 1
23 h
Linda's speed
= 60 ÷ 1
13= 60 x
34= 45 km/h
Daniel's speed
= 60 ÷ 1
23= 60 x
35= 36 km/h
Distance between Linda and Daniel after 1 hour
= 45 - 36
= 9 km
(b)
LCM of 80 and 100 = 400
400 min =
40060 h = 6
23 h
Time needed for Linda to meet Daniel for the first time = 6
23 h
Answer(s): (a) 9 km; (b) 6
23 h