A church and a flower shop, 1500 m apart, are situated between Shannon's house and Winnie's house. The flower shop is halfway between the two houses and the church is closer to Winnie's house. Shannon and Winnie left their homes at the same time and arrived at the church at the same time. Shannon drove at a speed of 76 km/h while Winnie drove at a speed 19 km/h slower than Shannon. Leaving your answer in kilometres,

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

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

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

(b)
Time that Shannon took to travel to the church
= 3 ÷ 19
= ³₁₉ h

Distance that Shannon travelled
= ³₁₉ x 76
= 12 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Winnie's house and the flower shop
= 12 - 1.5
= 10.5 km

Answer(s): (a) 3 km; (b) 10.5 km