Gwen and Simon started off from the same place and drove at uniform speeds in the same direction round a 55 km circular racing track. Gwen completed each round in 50 minutes. Simon took 60 minutes to complete each round.
- How far would Simon be behind Gwen after 1 hour?
- How long after they started would it take Gwen to meet Simon 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
60 min =
6060 h = 1 h
Gwen's speed
= 55 ÷
56= 55 x
65= 66 km/h
Simon's speed
= 55 ÷ 1
= 55 x
11= 55 km/h
Distance between Gwen and Simon after 1 hour
= 66 - 55
= 11 km
(b)
LCM of 50 and 60 = 300
300 min =
30060 h = 5 h
Time needed for Gwen to meet Simon for the first time = 5 h
Answer(s): (a) 11 km; (b) 5 h