A church and a flower shop, 2000 m apart, are situated between Kylie's house and Fiona's house. The flower shop is halfway between the two houses and the church is closer to Fiona's house. Kylie and Fiona left their homes at the same time and arrived at the church at the same time. Kylie drove at a speed of 66 km/h while Fiona drove at a speed 15 km/h slower than Kylie. Leaving your answer in kilometres,

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

(a)
Let the distance between Kylie's house and Fiona's house be 1 d.
Fiona travelled = ¹₂ d - 2000 m
Kylie travelled = ¹₂ d + 2000 m

Distance that Kylie travelled more than Fiona
= ¹₂ d + 2000 - (¹₂ d - 2000)
= ¹₂ d + 2000 - ¹₂ d + 2000
= 4000 m
= 4 km

(b)
Time that Kylie took to travel to the church
= 4 ÷ 15
= ⁴₁₅ h

Distance that Kylie travelled
= ⁴₁₅ x 66
= 17.6 km

1000 m = 1 km
2000 m = 2 km

Distance between Fiona's house and the flower shop
= 17.6 - 2
= 15.6 km

Answer(s): (a) 4 km; (b) 15.6 km