Question

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 cycle? b)What was the total distance that Nella travelled?​

Answer 1

18km

40.5km

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