A pastry shop and a flower shop, 1500 m apart, are situated between Min's house and Cindy's house. The flower shop is halfway between the two houses and the pastry shop is closer to Cindy's house. Min and Cindy left their homes at the same time and arrived at the pastry shop at the same time. Min drove at a speed of 72 km/h while Cindy drove at a speed 20 km/h slower than Min. Leaving your answer in kilometres,

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

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

Distance that Min travelled more than Cindy
= 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 pastry shop
= 3 ÷ 20
= ³₂₀ h

Distance that Min travelled
= ³₂₀ x 72
= 10.8 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Cindy's house and the flower shop
= 10.8 - 1.5
= 9.3 km

Answer(s): (a) 3 km; (b) 9.3 km