A church and a flower shop, 1500 m apart, are situated between Jade's house and Gabby's house. The flower shop is halfway between the two houses and the church is closer to Gabby's house. Jade and Gabby left their homes at the same time and arrived at the church at the same time. Jade drove at a speed of 65 km/h while Gabby drove at a speed 13 km/h slower than Jade. Leaving your answer in kilometres,

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

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

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

(b)
Time that Jade took to travel to the church
= 3 ÷ 13
= ³₁₃ h

Distance that Jade travelled
= ³₁₃ x 65
= 15 km

1000 m = 1 km
1500 m = 1.5 km

Distance between Gabby's house and the flower shop
= 15 - 1.5
= 13.5 km

Answer(s): (a) 3 km; (b) 13.5 km