A church and a flower shop, 3500 m apart, are situated between Kylie's house and Kimberly's house. The flower shop is halfway between the two houses and the church is closer to Kimberly's house. Kylie and Kimberly left their homes at the same time and arrived at the church at the same time. Kylie drove at a speed of 64 km/h while Kimberly drove at a speed 20 km/h slower than Kylie. Leaving your answer in kilometres,

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

(a)
Let the distance between Kylie's house and Kimberly's house be 1 d.
Kimberly travelled = ¹₂ d - 3500 m
Kylie travelled = ¹₂ d + 3500 m

Distance that Kylie travelled more than Kimberly
= ¹₂ d + 3500 - (¹₂ d - 3500)
= ¹₂ d + 3500 - ¹₂ d + 3500
= 7000 m
= 7 km

(b)
Time that Kylie took to travel to the church
= 7 ÷ 20
= ⁷₂₀ h

Distance that Kylie travelled
= ⁷₂₀ x 64
= 22.4 km

1000 m = 1 km
3500 m = 3.5 km

Distance between Kimberly's house and the flower shop
= 22.4 - 3.5
= 18.9 km

Answer(s): (a) 7 km; (b) 18.9 km