A church and a flower shop, 1000 m apart, are situated between Xylia's house and Fanny's house. The flower shop is halfway between the two houses and the church is closer to Fanny's house. Xylia and Fanny left their homes at the same time and arrived at the church at the same time. Xylia drove at a speed of 60 km/h while Fanny drove at a speed 15 km/h slower than Xylia. Leaving your answer in kilometres,

1. how much farther did Xylia travel than Fanny?
2. how far is Fanny's house from the flower shop?

(a)
Let the distance between Xylia's house and Fanny's house be 1 d.
Fanny travelled = ¹₂ d - 1000 m
Xylia travelled = ¹₂ d + 1000 m

Distance that Xylia travelled more than Fanny
= ¹₂ d + 1000 - (¹₂ d - 1000)
= ¹₂ d + 1000 - ¹₂ d + 1000
= 2000 m
= 2 km

(b)
Time that Xylia took to travel to the church
= 2 ÷ 15
= ²₁₅ h

Distance that Xylia travelled
= ²₁₅ x 60
= 8 km

1000 m = 1 km
1000 m = 1 km

Distance between Fanny's house and the flower shop
= 8 - 1
= 7 km

Answer(s): (a) 2 km; (b) 7 km