A church and a flower shop, 500 m apart, are situated between Irene's house and Anna's house. The flower shop is halfway between the two houses and the church is closer to Anna's house. Irene and Anna left their homes at the same time and arrived at the church at the same time. Irene drove at a speed of 62 km/h while Anna drove at a speed 20 km/h slower than Irene. Leaving your answer in kilometres,

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

(a)
Let the distance between Irene's house and Anna's house be 1 d.
Anna travelled = ¹₂ d - 500 m
Irene travelled = ¹₂ d + 500 m

Distance that Irene travelled more than Anna
= ¹₂ d + 500 - (¹₂ d - 500)
= ¹₂ d + 500 - ¹₂ d + 500
= 1000 m
= 1 km

(b)
Time that Irene took to travel to the church
= 1 ÷ 20
= ¹₂₀ h

Distance that Irene travelled
= ¹₂₀ x 62
= 3.1 km

1000 m = 1 km
500 m = 0.5 km

Distance between Anna's house and the flower shop
= 3.1 - 0.5
= 2.6 km

Answer(s): (a) 1 km; (b) 2.6 km