Nella travelled 1/3 of a journey by bus, 2/3 of the remainder by bicycle and the remaining 9 km on foot. a)How far did Nella cyc
le? b)What was the total distance that Nella travelled?
1 answer:
Answer:
18km
40.5km
Step-by-step explanation:
Let b = journey by bus
c = journey by bicycle
d = total journey
c = (2/3 x d) x 2/3
divide both sides by 2/s
c(3/2) = (2/3)d
c + 9km = 2/3d
c + 9km = 3/2 c
collect like terms and solve for c
3/2c - c = 9km
1/2c = 9km
c = 18km
2. IF cycling (18km) and walking (9km) make up 2/3 of the journey, 2/3 of the journey is 27km
2/3d = 27km
divide both sides by 3/2 to find d
d = 40.50 km
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