Eva and Albert started off from the same place and drove at uniform speeds in the same direction round a 35 km circular racing track. Eva completed each round in 50 minutes. Albert took 70 minutes to complete each round.
- How far would Albert be behind Eva after 1 hour?
- How long after they started would it take Eva to meet Albert 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
70 min =
7060 h = 1
16 h
Eva's speed
= 35 ÷
56= 35 x
65= 42 km/h
Albert's speed
= 35 ÷ 1
16= 35 x
67= 30 km/h
Distance between Eva and Albert after 1 hour
= 42 - 30
= 12 km
(b)
LCM of 50 and 70 = 350
350 min =
35060 h = 5
56 h
Time needed for Eva to meet Albert for the first time = 5
56 h
Answer(s): (a) 12 km; (b) 5
56 h