A church and a flower shop, 1000 m apart, are situated between Wendy's house and Risa's house. The flower shop is halfway between the two houses and the church is closer to Risa's house. Wendy and Risa left their homes at the same time and arrived at the church at the same time. Wendy drove at a speed of 66 km/h while Risa drove at a speed 11 km/h slower than Wendy. Leaving your answer in kilometres,

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

(a)
Let the distance between Wendy's house and Risa's house be 1 d.
Risa travelled = ¹₂ d - 1000 m
Wendy travelled = ¹₂ d + 1000 m

Distance that Wendy travelled more than Risa
= ¹₂ d + 1000 - (¹₂ d - 1000)
= ¹₂ d + 1000 - ¹₂ d + 1000
= 2000 m
= 2 km

(b)
Time that Wendy took to travel to the church
= 2 ÷ 11
= ²₁₁ h

Distance that Wendy travelled
= ²₁₁ x 66
= 12 km

1000 m = 1 km
1000 m = 1 km

Distance between Risa's house and the flower shop
= 12 - 1
= 11 km

Answer(s): (a) 2 km; (b) 11 km