Zoe and Nick started off from the same place and drove at uniform speeds in the same direction round a 40 km circular racing track. Zoe completed each round in 50 minutes. Nick took 80 minutes to complete each round.
- How far would Nick be behind Zoe after 1 hour?
- How long after they started would it take Zoe to meet Nick 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
80 min =
8060 h = 1
13 h
Zoe's speed
= 40 ÷
56= 40 x
65= 48 km/h
Nick's speed
= 40 ÷ 1
13= 40 x
34= 30 km/h
Distance between Zoe and Nick after 1 hour
= 48 - 30
= 18 km
(b)
LCM of 50 and 80 = 400
400 min =
40060 h = 6
23 h
Time needed for Zoe to meet Nick for the first time = 6
23 h
Answer(s): (a) 18 km; (b) 6
23 h