A church and a flower shop, 3500 m apart, are situated between Hazel's house and Tiffany's house. The flower shop is halfway between the two houses and the church is closer to Tiffany's house. Hazel and Tiffany left their homes at the same time and arrived at the church at the same time. Hazel drove at a speed of 66 km/h while Tiffany drove at a speed 20 km/h slower than Hazel. Leaving your answer in kilometres,

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

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

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

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

Distance that Hazel travelled
= ⁷₂₀ x 66
= 23.1 km

1000 m = 1 km
3500 m = 3.5 km

Distance between Tiffany's house and the flower shop
= 23.1 - 3.5
= 19.6 km

Answer(s): (a) 7 km; (b) 19.6 km