Hilda and Nick started off from the same place and drove at uniform speeds in the same direction round a 35 km circular racing track. Hilda completed each round in 60 minutes. Nick took 70 minutes to complete each round.
- How far would Nick be behind Hilda after 1 hour?
- How long after they started would it take Hilda 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
60 min =
6060 h = 1 h
70 min =
7060 h = 1
16 h
Hilda's speed
= 35 ÷ 1
= 35 x
11= 35 km/h
Nick's speed
= 35 ÷ 1
16= 35 x
67= 30 km/h
Distance between Hilda and Nick after 1 hour
= 35 - 30
= 5 km
(b)
LCM of 60 and 70 = 420
420 min =
42060 h = 7 h
Time needed for Hilda to meet Nick for the first time = 7 h
Answer(s): (a) 5 km; (b) 7 h