Barbara and Gabriel started off from the same place and drove at uniform speeds in the same direction round a 30 km circular racing track. Barbara completed each round in 50 minutes. Gabriel took 60 minutes to complete each round.
- How far would Gabriel be behind Barbara after 1 hour?
- How long after they started would it take Barbara to meet Gabriel 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
Barbara's speed
= 30 ÷
56= 30 x
65= 36 km/h
Gabriel's speed
= 30 ÷ 1
= 30 x
11= 30 km/h
Distance between Barbara and Gabriel after 1 hour
= 36 - 30
= 6 km
(b)
LCM of 50 and 60 = 300
300 min =
30060 h = 5 h
Time needed for Barbara to meet Gabriel for the first time = 5 h
Answer(s): (a) 6 km; (b) 5 h