Joelle and Mark started off from the same place and drove at uniform speeds in the same direction round a 50 km circular racing track. Joelle completed each round in 60 minutes. Mark took 100 minutes to complete each round.
- How far would Mark be behind Joelle after 1 hour?
- How long after they started would it take Joelle to meet Mark 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
Joelle's speed
= 50 ÷ 1
= 50 x
11= 50 km/h
Mark's speed
= 50 ÷ 1
23= 50 x
35= 30 km/h
Distance between Joelle and Mark after 1 hour
= 50 - 30
= 20 km
(b)
LCM of 60 and 100 = 300
300 min =
30060 h = 5 h
Time needed for Joelle to meet Mark for the first time = 5 h
Answer(s): (a) 20 km; (b) 5 h