A church and a flower shop, 1500 m apart, are situated between Min's house and Hilda's house. The flower shop is halfway between the two houses and the church is closer to Hilda's house. Min and Hilda left their homes at the same time and arrived at the church at the same time. Min drove at a speed of 73 km/h while Hilda drove at a speed 20 km/h slower than Min. Leaving your answer in kilometres,

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

(a)
Let the distance between Min's house and Hilda's house be 1 d.
Hilda travelled = ¹₂ d - 1500 m
Min travelled = ¹₂ d + 1500 m

Distance that Min travelled more than Hilda
= ¹₂ d + 1500 - (¹₂ d - 1500)
= ¹₂ d + 1500 - ¹₂ d + 1500
= 3000 m
= 3 km

(b)
Time that Min took to travel to the church
= 3 ÷ 20
= ³₂₀ h

Distance that Min travelled
= ³₂₀ x 73
= 10.95 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Hilda's house and the flower shop
= 10.95 - 1.5
= 9.45 km

Answer(s): (a) 3 km; (b) 9.45 km